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Finding the Fourth Proportional to 2,397.77, 3,596.24 and 1,098.93

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Solution

The fourth proportional to 2,397.77, 3,596.24 and 1,098.93 is: 1,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.77 : 3,596.24 = 1,098.93 : x
  2. Step 2: Convert to fraction form
    2,397.77/3,596.24 = 1,098.93/x
  3. Step 3: Cross multiply
    2,397.77x = 3,596.24 × 1,098.93
  4. Step 4: Simplify right side
    2,397.77x = 3,952,010.53
  5. Step 5: Solve for x
    x = 3,952,010.53/2,397.77
  6. Step 6: Final answer
    x = 1,648.21

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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.