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Finding the Fourth Proportional to 3,673.50, 5,502.84 and 1,696.34

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Solution

The fourth proportional to 3,673.50, 5,502.84 and 1,696.34 is: 2,541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.50 : 5,502.84 = 1,696.34 : x
  2. Step 2: Convert to fraction form
    3,673.50/5,502.84 = 1,696.34/x
  3. Step 3: Cross multiply
    3,673.50x = 5,502.84 × 1,696.34
  4. Step 4: Simplify right side
    3,673.50x = 9,334,687.61
  5. Step 5: Solve for x
    x = 9,334,687.61/3,673.50
  6. Step 6: Final answer
    x = 2,541.09

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1.5x scale

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.