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Finding the Fourth Proportional to 2,312.10, 3,468.15 and 580.71

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Solution

The fourth proportional to 2,312.10, 3,468.15 and 580.71 is: 871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.10 : 3,468.15 = 580.71 : x
  2. Step 2: Convert to fraction form
    2,312.10/3,468.15 = 580.71/x
  3. Step 3: Cross multiply
    2,312.10x = 3,468.15 × 580.71
  4. Step 4: Simplify right side
    2,312.10x = 2,013,989.39
  5. Step 5: Solve for x
    x = 2,013,989.39/2,312.10
  6. Step 6: Final answer
    x = 871.07

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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.