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Finding the Fourth Proportional to 2,438.64, 3,654.72 and 1,559.52

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Solution

The fourth proportional to 2,438.64, 3,654.72 and 1,559.52 is: 2,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.64 : 3,654.72 = 1,559.52 : x
  2. Step 2: Convert to fraction form
    2,438.64/3,654.72 = 1,559.52/x
  3. Step 3: Cross multiply
    2,438.64x = 3,654.72 × 1,559.52
  4. Step 4: Simplify right side
    2,438.64x = 5,699,608.93
  5. Step 5: Solve for x
    x = 5,699,608.93/2,438.64
  6. Step 6: Final answer
    x = 2,337.21

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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.