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Finding the Fourth Proportional to 1,565.32, 2,342.74 and 1,544.60

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Solution

The fourth proportional to 1,565.32, 2,342.74 and 1,544.60 is: 2,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.32 : 2,342.74 = 1,544.60 : x
  2. Step 2: Convert to fraction form
    1,565.32/2,342.74 = 1,544.60/x
  3. Step 3: Cross multiply
    1,565.32x = 2,342.74 × 1,544.60
  4. Step 4: Simplify right side
    1,565.32x = 3,618,596.20
  5. Step 5: Solve for x
    x = 3,618,596.20/1,565.32
  6. Step 6: Final answer
    x = 2,311.73

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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.