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Finding the Fourth Proportional to 2,710.24, 4,063.84 and 861.02

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Solution

The fourth proportional to 2,710.24, 4,063.84 and 861.02 is: 1,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.24 : 4,063.84 = 861.02 : x
  2. Step 2: Convert to fraction form
    2,710.24/4,063.84 = 861.02/x
  3. Step 3: Cross multiply
    2,710.24x = 4,063.84 × 861.02
  4. Step 4: Simplify right side
    2,710.24x = 3,499,047.52
  5. Step 5: Solve for x
    x = 3,499,047.52/2,710.24
  6. Step 6: Final answer
    x = 1,291.05

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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.