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Finding the Fourth Proportional to 2,442.83, 3,664.19 and 593.96

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Solution

The fourth proportional to 2,442.83, 3,664.19 and 593.96 is: 890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.83 : 3,664.19 = 593.96 : x
  2. Step 2: Convert to fraction form
    2,442.83/3,664.19 = 593.96/x
  3. Step 3: Cross multiply
    2,442.83x = 3,664.19 × 593.96
  4. Step 4: Simplify right side
    2,442.83x = 2,176,363.97
  5. Step 5: Solve for x
    x = 2,176,363.97/2,442.83
  6. Step 6: Final answer
    x = 890.92

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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.