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Finding the Fourth Proportional to 2,603.68, 3,901.20 and 2,275.36

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Solution

The fourth proportional to 2,603.68, 3,901.20 and 2,275.36 is: 3,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.68 : 3,901.20 = 2,275.36 : x
  2. Step 2: Convert to fraction form
    2,603.68/3,901.20 = 2,275.36/x
  3. Step 3: Cross multiply
    2,603.68x = 3,901.20 × 2,275.36
  4. Step 4: Simplify right side
    2,603.68x = 8,876,634.43
  5. Step 5: Solve for x
    x = 8,876,634.43/2,603.68
  6. Step 6: Final answer
    x = 3,409.26

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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.