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Finding the Fourth Proportional to 2,484.89, 3,728.65 and 1,099.19

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Solution

The fourth proportional to 2,484.89, 3,728.65 and 1,099.19 is: 1,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.89 : 3,728.65 = 1,099.19 : x
  2. Step 2: Convert to fraction form
    2,484.89/3,728.65 = 1,099.19/x
  3. Step 3: Cross multiply
    2,484.89x = 3,728.65 × 1,099.19
  4. Step 4: Simplify right side
    2,484.89x = 4,098,482.45
  5. Step 5: Solve for x
    x = 4,098,482.45/2,484.89
  6. Step 6: Final answer
    x = 1,649.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.