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Finding the Fourth Proportional to 2,570.46, 3,855.72 and 1,337.64

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Solution

The fourth proportional to 2,570.46, 3,855.72 and 1,337.64 is: 2,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.46 : 3,855.72 = 1,337.64 : x
  2. Step 2: Convert to fraction form
    2,570.46/3,855.72 = 1,337.64/x
  3. Step 3: Cross multiply
    2,570.46x = 3,855.72 × 1,337.64
  4. Step 4: Simplify right side
    2,570.46x = 5,157,565.30
  5. Step 5: Solve for x
    x = 5,157,565.30/2,570.46
  6. Step 6: Final answer
    x = 2,006.48

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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.