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Finding the Fourth Proportional to 3,098.64, 4,272.90 and 2,155.50

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Solution

The fourth proportional to 3,098.64, 4,272.90 and 2,155.50 is: 2,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.64 : 4,272.90 = 2,155.50 : x
  2. Step 2: Convert to fraction form
    3,098.64/4,272.90 = 2,155.50/x
  3. Step 3: Cross multiply
    3,098.64x = 4,272.90 × 2,155.50
  4. Step 4: Simplify right side
    3,098.64x = 9,210,235.95
  5. Step 5: Solve for x
    x = 9,210,235.95/3,098.64
  6. Step 6: Final answer
    x = 2,972.35

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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.