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Finding the Fourth Proportional to 3,098.12, 4,275.24 and 1,771.70

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Solution

The fourth proportional to 3,098.12, 4,275.24 and 1,771.70 is: 2,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.12 : 4,275.24 = 1,771.70 : x
  2. Step 2: Convert to fraction form
    3,098.12/4,275.24 = 1,771.70/x
  3. Step 3: Cross multiply
    3,098.12x = 4,275.24 × 1,771.70
  4. Step 4: Simplify right side
    3,098.12x = 7,574,442.71
  5. Step 5: Solve for x
    x = 7,574,442.71/3,098.12
  6. Step 6: Final answer
    x = 2,444.85

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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.