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Finding the Fourth Proportional to 2,702.67, 4,054.41 and 1,315.14

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Solution

The fourth proportional to 2,702.67, 4,054.41 and 1,315.14 is: 1,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.67 : 4,054.41 = 1,315.14 : x
  2. Step 2: Convert to fraction form
    2,702.67/4,054.41 = 1,315.14/x
  3. Step 3: Cross multiply
    2,702.67x = 4,054.41 × 1,315.14
  4. Step 4: Simplify right side
    2,702.67x = 5,332,116.77
  5. Step 5: Solve for x
    x = 5,332,116.77/2,702.67
  6. Step 6: Final answer
    x = 1,972.91

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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.