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Finding the Fourth Proportional to 2,702.43, 4,051.98 and 853.02

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Solution

The fourth proportional to 2,702.43, 4,051.98 and 853.02 is: 1,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.43 : 4,051.98 = 853.02 : x
  2. Step 2: Convert to fraction form
    2,702.43/4,051.98 = 853.02/x
  3. Step 3: Cross multiply
    2,702.43x = 4,051.98 × 853.02
  4. Step 4: Simplify right side
    2,702.43x = 3,456,419.98
  5. Step 5: Solve for x
    x = 3,456,419.98/2,702.43
  6. Step 6: Final answer
    x = 1,279.00

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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.