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Finding the Fourth Proportional to 2,260.96, 3,118.72 and 1,597.76

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Solution

The fourth proportional to 2,260.96, 3,118.72 and 1,597.76 is: 2,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.96 : 3,118.72 = 1,597.76 : x
  2. Step 2: Convert to fraction form
    2,260.96/3,118.72 = 1,597.76/x
  3. Step 3: Cross multiply
    2,260.96x = 3,118.72 × 1,597.76
  4. Step 4: Simplify right side
    2,260.96x = 4,982,966.07
  5. Step 5: Solve for x
    x = 4,982,966.07/2,260.96
  6. Step 6: Final answer
    x = 2,203.92

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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.