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Finding the Fourth Proportional to 2,572.02, 3,856.48 and 1,010.16

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Solution

The fourth proportional to 2,572.02, 3,856.48 and 1,010.16 is: 1,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.02 : 3,856.48 = 1,010.16 : x
  2. Step 2: Convert to fraction form
    2,572.02/3,856.48 = 1,010.16/x
  3. Step 3: Cross multiply
    2,572.02x = 3,856.48 × 1,010.16
  4. Step 4: Simplify right side
    2,572.02x = 3,895,659.31
  5. Step 5: Solve for x
    x = 3,895,659.31/2,572.02
  6. Step 6: Final answer
    x = 1,514.63

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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.