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Finding the Fourth Proportional to 1,728,696.60, 2,593,044.90 and 1,640,123.10

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Solution

The fourth proportional to 1,728,696.60, 2,593,044.90 and 1,640,123.10 is: 2,460,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,696.60 : 2,593,044.90 = 1,640,123.10 : x
  2. Step 2: Convert to fraction form
    1,728,696.60/2,593,044.90 = 1,640,123.10/x
  3. Step 3: Cross multiply
    1,728,696.60x = 2,593,044.90 × 1,640,123.10
  4. Step 4: Simplify right side
    1,728,696.60x = 4,252,912,839,827.19
  5. Step 5: Solve for x
    x = 4,252,912,839,827.19/1,728,696.60
  6. Step 6: Final answer
    x = 2,460,184.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.