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Finding the Fourth Proportional to 4,468.17, 6,702.19 and 1,348.05

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Solution

The fourth proportional to 4,468.17, 6,702.19 and 1,348.05 is: 2,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.17 : 6,702.19 = 1,348.05 : x
  2. Step 2: Convert to fraction form
    4,468.17/6,702.19 = 1,348.05/x
  3. Step 3: Cross multiply
    4,468.17x = 6,702.19 × 1,348.05
  4. Step 4: Simplify right side
    4,468.17x = 9,034,887.23
  5. Step 5: Solve for x
    x = 9,034,887.23/4,468.17
  6. Step 6: Final answer
    x = 2,022.06

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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.