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Finding the Fourth Proportional to 2,856.35, 3,941.91 and 1,737.10

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Solution

The fourth proportional to 2,856.35, 3,941.91 and 1,737.10 is: 2,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.35 : 3,941.91 = 1,737.10 : x
  2. Step 2: Convert to fraction form
    2,856.35/3,941.91 = 1,737.10/x
  3. Step 3: Cross multiply
    2,856.35x = 3,941.91 × 1,737.10
  4. Step 4: Simplify right side
    2,856.35x = 6,847,491.86
  5. Step 5: Solve for x
    x = 6,847,491.86/2,856.35
  6. Step 6: Final answer
    x = 2,397.29

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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.