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Finding the Fourth Proportional to 3,046.98, 4,204.80 and 1,720.66

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Solution

The fourth proportional to 3,046.98, 4,204.80 and 1,720.66 is: 2,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.98 : 4,204.80 = 1,720.66 : x
  2. Step 2: Convert to fraction form
    3,046.98/4,204.80 = 1,720.66/x
  3. Step 3: Cross multiply
    3,046.98x = 4,204.80 × 1,720.66
  4. Step 4: Simplify right side
    3,046.98x = 7,235,031.17
  5. Step 5: Solve for x
    x = 7,235,031.17/3,046.98
  6. Step 6: Final answer
    x = 2,374.49

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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.