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Finding the Fourth Proportional to 1,640.71, 2,263.77 and 1,052.04

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Solution

The fourth proportional to 1,640.71, 2,263.77 and 1,052.04 is: 1,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.71 : 2,263.77 = 1,052.04 : x
  2. Step 2: Convert to fraction form
    1,640.71/2,263.77 = 1,052.04/x
  3. Step 3: Cross multiply
    1,640.71x = 2,263.77 × 1,052.04
  4. Step 4: Simplify right side
    1,640.71x = 2,381,575.31
  5. Step 5: Solve for x
    x = 2,381,575.31/1,640.71
  6. Step 6: Final answer
    x = 1,451.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.