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Finding the Fourth Proportional to 2,442.16, 3,663.23 and 593.29

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Solution

The fourth proportional to 2,442.16, 3,663.23 and 593.29 is: 889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.16 : 3,663.23 = 593.29 : x
  2. Step 2: Convert to fraction form
    2,442.16/3,663.23 = 593.29/x
  3. Step 3: Cross multiply
    2,442.16x = 3,663.23 × 593.29
  4. Step 4: Simplify right side
    2,442.16x = 2,173,357.73
  5. Step 5: Solve for x
    x = 2,173,357.73/2,442.16
  6. Step 6: Final answer
    x = 889.93

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