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Finding the Fourth Proportional to 2,898.74, 4,002.35 and 1,781.18

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Solution

The fourth proportional to 2,898.74, 4,002.35 and 1,781.18 is: 2,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.74 : 4,002.35 = 1,781.18 : x
  2. Step 2: Convert to fraction form
    2,898.74/4,002.35 = 1,781.18/x
  3. Step 3: Cross multiply
    2,898.74x = 4,002.35 × 1,781.18
  4. Step 4: Simplify right side
    2,898.74x = 7,128,891.86
  5. Step 5: Solve for x
    x = 7,128,891.86/2,898.74
  6. Step 6: Final answer
    x = 2,459.30

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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.