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Finding the Fourth Proportional to 1,824.89, 2,734.90 and 1,045.13

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Solution

The fourth proportional to 1,824.89, 2,734.90 and 1,045.13 is: 1,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.89 : 2,734.90 = 1,045.13 : x
  2. Step 2: Convert to fraction form
    1,824.89/2,734.90 = 1,045.13/x
  3. Step 3: Cross multiply
    1,824.89x = 2,734.90 × 1,045.13
  4. Step 4: Simplify right side
    1,824.89x = 2,858,309.75
  5. Step 5: Solve for x
    x = 2,858,309.75/1,824.89
  6. Step 6: Final answer
    x = 1,566.30

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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.