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Finding the Fourth Proportional to 1,610.52, 2,410.56 and 878.28

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Solution

The fourth proportional to 1,610.52, 2,410.56 and 878.28 is: 1,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.52 : 2,410.56 = 878.28 : x
  2. Step 2: Convert to fraction form
    1,610.52/2,410.56 = 878.28/x
  3. Step 3: Cross multiply
    1,610.52x = 2,410.56 × 878.28
  4. Step 4: Simplify right side
    1,610.52x = 2,117,146.64
  5. Step 5: Solve for x
    x = 2,117,146.64/1,610.52
  6. Step 6: Final answer
    x = 1,314.57

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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.