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Finding the Fourth Proportional to 2,297.55, 3,446.34 and 1,565.31

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Solution

The fourth proportional to 2,297.55, 3,446.34 and 1,565.31 is: 2,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.55 : 3,446.34 = 1,565.31 : x
  2. Step 2: Convert to fraction form
    2,297.55/3,446.34 = 1,565.31/x
  3. Step 3: Cross multiply
    2,297.55x = 3,446.34 × 1,565.31
  4. Step 4: Simplify right side
    2,297.55x = 5,394,590.47
  5. Step 5: Solve for x
    x = 5,394,590.47/2,297.55
  6. Step 6: Final answer
    x = 2,347.98

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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.