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Finding the Fourth Proportional to 2,415.87, 3,622.40 and 1,288.74

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Solution

The fourth proportional to 2,415.87, 3,622.40 and 1,288.74 is: 1,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.87 : 3,622.40 = 1,288.74 : x
  2. Step 2: Convert to fraction form
    2,415.87/3,622.40 = 1,288.74/x
  3. Step 3: Cross multiply
    2,415.87x = 3,622.40 × 1,288.74
  4. Step 4: Simplify right side
    2,415.87x = 4,668,331.78
  5. Step 5: Solve for x
    x = 4,668,331.78/2,415.87
  6. Step 6: Final answer
    x = 1,932.36

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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.