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Finding the Fourth Proportional to 2,875.43, 4,310.07 and 1,640.18

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Solution

The fourth proportional to 2,875.43, 4,310.07 and 1,640.18 is: 2,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.43 : 4,310.07 = 1,640.18 : x
  2. Step 2: Convert to fraction form
    2,875.43/4,310.07 = 1,640.18/x
  3. Step 3: Cross multiply
    2,875.43x = 4,310.07 × 1,640.18
  4. Step 4: Simplify right side
    2,875.43x = 7,069,290.61
  5. Step 5: Solve for x
    x = 7,069,290.61/2,875.43
  6. Step 6: Final answer
    x = 2,458.52

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