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Finding the Fourth Proportional to 3,407.22, 4,702.77 and 2,164.50

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Solution

The fourth proportional to 3,407.22, 4,702.77 and 2,164.50 is: 2,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.22 : 4,702.77 = 2,164.50 : x
  2. Step 2: Convert to fraction form
    3,407.22/4,702.77 = 2,164.50/x
  3. Step 3: Cross multiply
    3,407.22x = 4,702.77 × 2,164.50
  4. Step 4: Simplify right side
    3,407.22x = 10,179,145.67
  5. Step 5: Solve for x
    x = 10,179,145.67/3,407.22
  6. Step 6: Final answer
    x = 2,987.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.