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Finding the Fourth Proportional to 2,324.61, 3,490.16 and 1,462.77

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Solution

The fourth proportional to 2,324.61, 3,490.16 and 1,462.77 is: 2,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.61 : 3,490.16 = 1,462.77 : x
  2. Step 2: Convert to fraction form
    2,324.61/3,490.16 = 1,462.77/x
  3. Step 3: Cross multiply
    2,324.61x = 3,490.16 × 1,462.77
  4. Step 4: Simplify right side
    2,324.61x = 5,105,294.03
  5. Step 5: Solve for x
    x = 5,105,294.03/2,324.61
  6. Step 6: Final answer
    x = 2,196.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.