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Finding the Fourth Proportional to 2,277.59, 3,415.22 and 1,043.95

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Solution

The fourth proportional to 2,277.59, 3,415.22 and 1,043.95 is: 1,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.59 : 3,415.22 = 1,043.95 : x
  2. Step 2: Convert to fraction form
    2,277.59/3,415.22 = 1,043.95/x
  3. Step 3: Cross multiply
    2,277.59x = 3,415.22 × 1,043.95
  4. Step 4: Simplify right side
    2,277.59x = 3,565,309.08
  5. Step 5: Solve for x
    x = 3,565,309.08/2,277.59
  6. Step 6: Final answer
    x = 1,565.38

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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.