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Finding the Fourth Proportional to 2,398.39, 3,597.19 and 1,702.95

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Solution

The fourth proportional to 2,398.39, 3,597.19 and 1,702.95 is: 2,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.39 : 3,597.19 = 1,702.95 : x
  2. Step 2: Convert to fraction form
    2,398.39/3,597.19 = 1,702.95/x
  3. Step 3: Cross multiply
    2,398.39x = 3,597.19 × 1,702.95
  4. Step 4: Simplify right side
    2,398.39x = 6,125,834.71
  5. Step 5: Solve for x
    x = 6,125,834.71/2,398.39
  6. Step 6: Final answer
    x = 2,554.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.