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Finding the Fourth Proportional to 2,570.96, 3,856.44 and 1,033.04

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Solution

The fourth proportional to 2,570.96, 3,856.44 and 1,033.04 is: 1,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.96 : 3,856.44 = 1,033.04 : x
  2. Step 2: Convert to fraction form
    2,570.96/3,856.44 = 1,033.04/x
  3. Step 3: Cross multiply
    2,570.96x = 3,856.44 × 1,033.04
  4. Step 4: Simplify right side
    2,570.96x = 3,983,837.50
  5. Step 5: Solve for x
    x = 3,983,837.50/2,570.96
  6. Step 6: Final answer
    x = 1,549.56

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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.