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Finding the Fourth Proportional to 4,460.72, 6,691.10 and 1,829.66

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Solution

The fourth proportional to 4,460.72, 6,691.10 and 1,829.66 is: 2,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.72 : 6,691.10 = 1,829.66 : x
  2. Step 2: Convert to fraction form
    4,460.72/6,691.10 = 1,829.66/x
  3. Step 3: Cross multiply
    4,460.72x = 6,691.10 × 1,829.66
  4. Step 4: Simplify right side
    4,460.72x = 12,242,395.42
  5. Step 5: Solve for x
    x = 12,242,395.42/4,460.72
  6. Step 6: Final answer
    x = 2,744.49

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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.