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Finding the Fourth Proportional to 2,570.76, 3,856.24 and 1,474.62

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Solution

The fourth proportional to 2,570.76, 3,856.24 and 1,474.62 is: 2,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.76 : 3,856.24 = 1,474.62 : x
  2. Step 2: Convert to fraction form
    2,570.76/3,856.24 = 1,474.62/x
  3. Step 3: Cross multiply
    2,570.76x = 3,856.24 × 1,474.62
  4. Step 4: Simplify right side
    2,570.76x = 5,686,488.63
  5. Step 5: Solve for x
    x = 5,686,488.63/2,570.76
  6. Step 6: Final answer
    x = 2,211.99

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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.