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Finding the Fourth Proportional to 2,010.56, 3,016.16 and 1,143.08

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Solution

The fourth proportional to 2,010.56, 3,016.16 and 1,143.08 is: 1,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.56 : 3,016.16 = 1,143.08 : x
  2. Step 2: Convert to fraction form
    2,010.56/3,016.16 = 1,143.08/x
  3. Step 3: Cross multiply
    2,010.56x = 3,016.16 × 1,143.08
  4. Step 4: Simplify right side
    2,010.56x = 3,447,712.17
  5. Step 5: Solve for x
    x = 3,447,712.17/2,010.56
  6. Step 6: Final answer
    x = 1,714.80

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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.