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Finding the Fourth Proportional to 2,398.68, 3,590.73 and 1,575.18

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Solution

The fourth proportional to 2,398.68, 3,590.73 and 1,575.18 is: 2,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.68 : 3,590.73 = 1,575.18 : x
  2. Step 2: Convert to fraction form
    2,398.68/3,590.73 = 1,575.18/x
  3. Step 3: Cross multiply
    2,398.68x = 3,590.73 × 1,575.18
  4. Step 4: Simplify right side
    2,398.68x = 5,656,046.08
  5. Step 5: Solve for x
    x = 5,656,046.08/2,398.68
  6. Step 6: Final answer
    x = 2,357.98

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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.