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Finding the Fourth Proportional to 2,988.98, 4,481.29 and 1,407.15

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Solution

The fourth proportional to 2,988.98, 4,481.29 and 1,407.15 is: 2,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.98 : 4,481.29 = 1,407.15 : x
  2. Step 2: Convert to fraction form
    2,988.98/4,481.29 = 1,407.15/x
  3. Step 3: Cross multiply
    2,988.98x = 4,481.29 × 1,407.15
  4. Step 4: Simplify right side
    2,988.98x = 6,305,848.98
  5. Step 5: Solve for x
    x = 6,305,848.98/2,988.98
  6. Step 6: Final answer
    x = 2,109.70

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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.