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Finding the Fourth Proportional to 1,484.92, 2,229.69 and 1,419.20

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Solution

The fourth proportional to 1,484.92, 2,229.69 and 1,419.20 is: 2,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.92 : 2,229.69 = 1,419.20 : x
  2. Step 2: Convert to fraction form
    1,484.92/2,229.69 = 1,419.20/x
  3. Step 3: Cross multiply
    1,484.92x = 2,229.69 × 1,419.20
  4. Step 4: Simplify right side
    1,484.92x = 3,164,364.90
  5. Step 5: Solve for x
    x = 3,164,364.90/1,484.92
  6. Step 6: Final answer
    x = 2,131.00

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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.