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Finding the Fourth Proportional to 1,264.90, 1,896.19 and 1,071.15

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Solution

The fourth proportional to 1,264.90, 1,896.19 and 1,071.15 is: 1,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.90 : 1,896.19 = 1,071.15 : x
  2. Step 2: Convert to fraction form
    1,264.90/1,896.19 = 1,071.15/x
  3. Step 3: Cross multiply
    1,264.90x = 1,896.19 × 1,071.15
  4. Step 4: Simplify right side
    1,264.90x = 2,031,103.92
  5. Step 5: Solve for x
    x = 2,031,103.92/1,264.90
  6. Step 6: Final answer
    x = 1,605.74

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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.