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Finding the Fourth Proportional to 2,442.51, 3,663.77 and 593.61

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Solution

The fourth proportional to 2,442.51, 3,663.77 and 593.61 is: 890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.51 : 3,663.77 = 593.61 : x
  2. Step 2: Convert to fraction form
    2,442.51/3,663.77 = 593.61/x
  3. Step 3: Cross multiply
    2,442.51x = 3,663.77 × 593.61
  4. Step 4: Simplify right side
    2,442.51x = 2,174,854.41
  5. Step 5: Solve for x
    x = 2,174,854.41/2,442.51
  6. Step 6: Final answer
    x = 890.42

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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.