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Finding the Fourth Proportional to 2,470.76, 3,411.47 and 1,587.05

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Solution

The fourth proportional to 2,470.76, 3,411.47 and 1,587.05 is: 2,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.76 : 3,411.47 = 1,587.05 : x
  2. Step 2: Convert to fraction form
    2,470.76/3,411.47 = 1,587.05/x
  3. Step 3: Cross multiply
    2,470.76x = 3,411.47 × 1,587.05
  4. Step 4: Simplify right side
    2,470.76x = 5,414,160.37
  5. Step 5: Solve for x
    x = 5,414,160.37/2,470.76
  6. Step 6: Final answer
    x = 2,191.30

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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.