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Finding the Fourth Proportional to 2,375.68, 3,565.44 and 1,008.64

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Solution

The fourth proportional to 2,375.68, 3,565.44 and 1,008.64 is: 1,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.68 : 3,565.44 = 1,008.64 : x
  2. Step 2: Convert to fraction form
    2,375.68/3,565.44 = 1,008.64/x
  3. Step 3: Cross multiply
    2,375.68x = 3,565.44 × 1,008.64
  4. Step 4: Simplify right side
    2,375.68x = 3,596,245.40
  5. Step 5: Solve for x
    x = 3,596,245.40/2,375.68
  6. Step 6: Final answer
    x = 1,513.78

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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.