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Finding the Fourth Proportional to 1,593.49, 2,398.57 and 1,442.56

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Solution

The fourth proportional to 1,593.49, 2,398.57 and 1,442.56 is: 2,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.49 : 2,398.57 = 1,442.56 : x
  2. Step 2: Convert to fraction form
    1,593.49/2,398.57 = 1,442.56/x
  3. Step 3: Cross multiply
    1,593.49x = 2,398.57 × 1,442.56
  4. Step 4: Simplify right side
    1,593.49x = 3,460,081.14
  5. Step 5: Solve for x
    x = 3,460,081.14/1,593.49
  6. Step 6: Final answer
    x = 2,171.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.