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Finding the Fourth Proportional to 2,398.80, 3,597.61 and 917.71

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Solution

The fourth proportional to 2,398.80, 3,597.61 and 917.71 is: 1,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.80 : 3,597.61 = 917.71 : x
  2. Step 2: Convert to fraction form
    2,398.80/3,597.61 = 917.71/x
  3. Step 3: Cross multiply
    2,398.80x = 3,597.61 × 917.71
  4. Step 4: Simplify right side
    2,398.80x = 3,301,562.67
  5. Step 5: Solve for x
    x = 3,301,562.67/2,398.80
  6. Step 6: Final answer
    x = 1,376.34

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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.