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Finding the Fourth Proportional to 2,886.29, 4,328.35 and 2,277.17

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Solution

The fourth proportional to 2,886.29, 4,328.35 and 2,277.17 is: 3,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.29 : 4,328.35 = 2,277.17 : x
  2. Step 2: Convert to fraction form
    2,886.29/4,328.35 = 2,277.17/x
  3. Step 3: Cross multiply
    2,886.29x = 4,328.35 × 2,277.17
  4. Step 4: Simplify right side
    2,886.29x = 9,856,388.77
  5. Step 5: Solve for x
    x = 9,856,388.77/2,886.29
  6. Step 6: Final answer
    x = 3,414.90

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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.