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Finding the Fourth Proportional to 2,465.28, 3,698.52 and 2,262.78

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Solution

The fourth proportional to 2,465.28, 3,698.52 and 2,262.78 is: 3,394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.28 : 3,698.52 = 2,262.78 : x
  2. Step 2: Convert to fraction form
    2,465.28/3,698.52 = 2,262.78/x
  3. Step 3: Cross multiply
    2,465.28x = 3,698.52 × 2,262.78
  4. Step 4: Simplify right side
    2,465.28x = 8,368,937.09
  5. Step 5: Solve for x
    x = 8,368,937.09/2,465.28
  6. Step 6: Final answer
    x = 3,394.72

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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.