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Finding the Fourth Proportional to 2,077.59, 2,871.18 and 1,856.16

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Solution

The fourth proportional to 2,077.59, 2,871.18 and 1,856.16 is: 2,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.59 : 2,871.18 = 1,856.16 : x
  2. Step 2: Convert to fraction form
    2,077.59/2,871.18 = 1,856.16/x
  3. Step 3: Cross multiply
    2,077.59x = 2,871.18 × 1,856.16
  4. Step 4: Simplify right side
    2,077.59x = 5,329,369.47
  5. Step 5: Solve for x
    x = 5,329,369.47/2,077.59
  6. Step 6: Final answer
    x = 2,565.16

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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.