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Finding the Fourth Proportional to 2,510.57, 3,464.89 and 1,462.70

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Solution

The fourth proportional to 2,510.57, 3,464.89 and 1,462.70 is: 2,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.57 : 3,464.89 = 1,462.70 : x
  2. Step 2: Convert to fraction form
    2,510.57/3,464.89 = 1,462.70/x
  3. Step 3: Cross multiply
    2,510.57x = 3,464.89 × 1,462.70
  4. Step 4: Simplify right side
    2,510.57x = 5,068,073.62
  5. Step 5: Solve for x
    x = 5,068,073.62/2,510.57
  6. Step 6: Final answer
    x = 2,018.70

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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.