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Finding the Fourth Proportional to 2,948.66, 4,422.65 and 1,099.84

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Solution

The fourth proportional to 2,948.66, 4,422.65 and 1,099.84 is: 1,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.66 : 4,422.65 = 1,099.84 : x
  2. Step 2: Convert to fraction form
    2,948.66/4,422.65 = 1,099.84/x
  3. Step 3: Cross multiply
    2,948.66x = 4,422.65 × 1,099.84
  4. Step 4: Simplify right side
    2,948.66x = 4,864,207.38
  5. Step 5: Solve for x
    x = 4,864,207.38/2,948.66
  6. Step 6: Final answer
    x = 1,649.63

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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.