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Finding the Fourth Proportional to 2,319.62, 3,477 and 1,702.40

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Solution

The fourth proportional to 2,319.62, 3,477 and 1,702.40 is: 2,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.62 : 3,477 = 1,702.40 : x
  2. Step 2: Convert to fraction form
    2,319.62/3,477 = 1,702.40/x
  3. Step 3: Cross multiply
    2,319.62x = 3,477 × 1,702.40
  4. Step 4: Simplify right side
    2,319.62x = 5,919,244.80
  5. Step 5: Solve for x
    x = 5,919,244.80/2,319.62
  6. Step 6: Final answer
    x = 2,551.82

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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.