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Finding the Fourth Proportional to 2,597.25, 3,583.17 and 1,652.79

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Solution

The fourth proportional to 2,597.25, 3,583.17 and 1,652.79 is: 2,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.25 : 3,583.17 = 1,652.79 : x
  2. Step 2: Convert to fraction form
    2,597.25/3,583.17 = 1,652.79/x
  3. Step 3: Cross multiply
    2,597.25x = 3,583.17 × 1,652.79
  4. Step 4: Simplify right side
    2,597.25x = 5,922,209.63
  5. Step 5: Solve for x
    x = 5,922,209.63/2,597.25
  6. Step 6: Final answer
    x = 2,280.19

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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.