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Finding the Fourth Proportional to 2,597.28, 3,897.32 and 1,411.28

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Solution

The fourth proportional to 2,597.28, 3,897.32 and 1,411.28 is: 2,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.28 : 3,897.32 = 1,411.28 : x
  2. Step 2: Convert to fraction form
    2,597.28/3,897.32 = 1,411.28/x
  3. Step 3: Cross multiply
    2,597.28x = 3,897.32 × 1,411.28
  4. Step 4: Simplify right side
    2,597.28x = 5,500,209.77
  5. Step 5: Solve for x
    x = 5,500,209.77/2,597.28
  6. Step 6: Final answer
    x = 2,117.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.