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Finding the Fourth Proportional to 2,702.22, 4,053.86 and 853.50

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Solution

The fourth proportional to 2,702.22, 4,053.86 and 853.50 is: 1,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.22 : 4,053.86 = 853.50 : x
  2. Step 2: Convert to fraction form
    2,702.22/4,053.86 = 853.50/x
  3. Step 3: Cross multiply
    2,702.22x = 4,053.86 × 853.50
  4. Step 4: Simplify right side
    2,702.22x = 3,459,969.51
  5. Step 5: Solve for x
    x = 3,459,969.51/2,702.22
  6. Step 6: Final answer
    x = 1,280.42

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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.