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Finding the Fourth Proportional to 2,260.71, 3,118.86 and 1,597.32

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Solution

The fourth proportional to 2,260.71, 3,118.86 and 1,597.32 is: 2,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.71 : 3,118.86 = 1,597.32 : x
  2. Step 2: Convert to fraction form
    2,260.71/3,118.86 = 1,597.32/x
  3. Step 3: Cross multiply
    2,260.71x = 3,118.86 × 1,597.32
  4. Step 4: Simplify right side
    2,260.71x = 4,981,817.46
  5. Step 5: Solve for x
    x = 4,981,817.46/2,260.71
  6. Step 6: Final answer
    x = 2,203.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.