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Finding the Fourth Proportional to 2,570.84, 3,856.94 and 1,337.88

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Solution

The fourth proportional to 2,570.84, 3,856.94 and 1,337.88 is: 2,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.84 : 3,856.94 = 1,337.88 : x
  2. Step 2: Convert to fraction form
    2,570.84/3,856.94 = 1,337.88/x
  3. Step 3: Cross multiply
    2,570.84x = 3,856.94 × 1,337.88
  4. Step 4: Simplify right side
    2,570.84x = 5,160,116.20
  5. Step 5: Solve for x
    x = 5,160,116.20/2,570.84
  6. Step 6: Final answer
    x = 2,007.18

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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.