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Finding the Fourth Proportional to 2,442.49, 3,663.68 and 593.61

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Solution

The fourth proportional to 2,442.49, 3,663.68 and 593.61 is: 890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.49 : 3,663.68 = 593.61 : x
  2. Step 2: Convert to fraction form
    2,442.49/3,663.68 = 593.61/x
  3. Step 3: Cross multiply
    2,442.49x = 3,663.68 × 593.61
  4. Step 4: Simplify right side
    2,442.49x = 2,174,795.23
  5. Step 5: Solve for x
    x = 2,174,795.23/2,442.49
  6. Step 6: Final answer
    x = 890.40

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1.5x scale

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.