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Finding the Fourth Proportional to 2,277.52, 3,417.30 and 1,028.19

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Solution

The fourth proportional to 2,277.52, 3,417.30 and 1,028.19 is: 1,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.52 : 3,417.30 = 1,028.19 : x
  2. Step 2: Convert to fraction form
    2,277.52/3,417.30 = 1,028.19/x
  3. Step 3: Cross multiply
    2,277.52x = 3,417.30 × 1,028.19
  4. Step 4: Simplify right side
    2,277.52x = 3,513,647.95
  5. Step 5: Solve for x
    x = 3,513,647.95/2,277.52
  6. Step 6: Final answer
    x = 1,542.75

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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.