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Finding the Fourth Proportional to 2,458.25, 3,689.01 and 1,159.82

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Solution

The fourth proportional to 2,458.25, 3,689.01 and 1,159.82 is: 1,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.25 : 3,689.01 = 1,159.82 : x
  2. Step 2: Convert to fraction form
    2,458.25/3,689.01 = 1,159.82/x
  3. Step 3: Cross multiply
    2,458.25x = 3,689.01 × 1,159.82
  4. Step 4: Simplify right side
    2,458.25x = 4,278,587.58
  5. Step 5: Solve for x
    x = 4,278,587.58/2,458.25
  6. Step 6: Final answer
    x = 1,740.50

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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.