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Finding the Fourth Proportional to 2,702.38, 4,053.38 and 971.06

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Solution

The fourth proportional to 2,702.38, 4,053.38 and 971.06 is: 1,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.38 : 4,053.38 = 971.06 : x
  2. Step 2: Convert to fraction form
    2,702.38/4,053.38 = 971.06/x
  3. Step 3: Cross multiply
    2,702.38x = 4,053.38 × 971.06
  4. Step 4: Simplify right side
    2,702.38x = 3,936,075.18
  5. Step 5: Solve for x
    x = 3,936,075.18/2,702.38
  6. Step 6: Final answer
    x = 1,456.52

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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.