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Finding the Fourth Proportional to 2,637.79, 3,952.31 and 1,856.16

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Solution

The fourth proportional to 2,637.79, 3,952.31 and 1,856.16 is: 2,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.79 : 3,952.31 = 1,856.16 : x
  2. Step 2: Convert to fraction form
    2,637.79/3,952.31 = 1,856.16/x
  3. Step 3: Cross multiply
    2,637.79x = 3,952.31 × 1,856.16
  4. Step 4: Simplify right side
    2,637.79x = 7,336,116.15
  5. Step 5: Solve for x
    x = 7,336,116.15/2,637.79
  6. Step 6: Final answer
    x = 2,781.16

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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.