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Finding the Fourth Proportional to 2,442.02, 3,662.98 and 593.14

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Solution

The fourth proportional to 2,442.02, 3,662.98 and 593.14 is: 889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.02 : 3,662.98 = 593.14 : x
  2. Step 2: Convert to fraction form
    2,442.02/3,662.98 = 593.14/x
  3. Step 3: Cross multiply
    2,442.02x = 3,662.98 × 593.14
  4. Step 4: Simplify right side
    2,442.02x = 2,172,661.57
  5. Step 5: Solve for x
    x = 2,172,661.57/2,442.02
  6. Step 6: Final answer
    x = 889.70

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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.