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Finding the Fourth Proportional to 1,640.40, 2,461.14 and 947.88

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Solution

The fourth proportional to 1,640.40, 2,461.14 and 947.88 is: 1,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.40 : 2,461.14 = 947.88 : x
  2. Step 2: Convert to fraction form
    1,640.40/2,461.14 = 947.88/x
  3. Step 3: Cross multiply
    1,640.40x = 2,461.14 × 947.88
  4. Step 4: Simplify right side
    1,640.40x = 2,332,865.38
  5. Step 5: Solve for x
    x = 2,332,865.38/1,640.40
  6. Step 6: Final answer
    x = 1,422.13

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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.