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Finding the Fourth Proportional to 2,277.72, 3,417.03 and 1,045.17

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Solution

The fourth proportional to 2,277.72, 3,417.03 and 1,045.17 is: 1,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.72 : 3,417.03 = 1,045.17 : x
  2. Step 2: Convert to fraction form
    2,277.72/3,417.03 = 1,045.17/x
  3. Step 3: Cross multiply
    2,277.72x = 3,417.03 × 1,045.17
  4. Step 4: Simplify right side
    2,277.72x = 3,571,377.25
  5. Step 5: Solve for x
    x = 3,571,377.25/2,277.72
  6. Step 6: Final answer
    x = 1,567.96

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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.