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Finding the Fourth Proportional to 2,702.59, 4,054.22 and 853.43

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Solution

The fourth proportional to 2,702.59, 4,054.22 and 853.43 is: 1,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.59 : 4,054.22 = 853.43 : x
  2. Step 2: Convert to fraction form
    2,702.59/4,054.22 = 853.43/x
  3. Step 3: Cross multiply
    2,702.59x = 4,054.22 × 853.43
  4. Step 4: Simplify right side
    2,702.59x = 3,459,988.71
  5. Step 5: Solve for x
    x = 3,459,988.71/2,702.59
  6. Step 6: Final answer
    x = 1,280.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.