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Finding the Fourth Proportional to 2,417.38, 3,597.13 and 2,409.18

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Solution

The fourth proportional to 2,417.38, 3,597.13 and 2,409.18 is: 3,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.38 : 3,597.13 = 2,409.18 : x
  2. Step 2: Convert to fraction form
    2,417.38/3,597.13 = 2,409.18/x
  3. Step 3: Cross multiply
    2,417.38x = 3,597.13 × 2,409.18
  4. Step 4: Simplify right side
    2,417.38x = 8,666,124.80
  5. Step 5: Solve for x
    x = 8,666,124.80/2,417.38
  6. Step 6: Final answer
    x = 3,584.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.