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Finding the Fourth Proportional to 3,098.88, 4,277.40 and 2,470.44

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Solution

The fourth proportional to 3,098.88, 4,277.40 and 2,470.44 is: 3,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.88 : 4,277.40 = 2,470.44 : x
  2. Step 2: Convert to fraction form
    3,098.88/4,277.40 = 2,470.44/x
  3. Step 3: Cross multiply
    3,098.88x = 4,277.40 × 2,470.44
  4. Step 4: Simplify right side
    3,098.88x = 10,567,060.06
  5. Step 5: Solve for x
    x = 10,567,060.06/3,098.88
  6. Step 6: Final answer
    x = 3,409.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.