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Finding the Fourth Proportional to 2,023.79, 3,034.74 and 1,407.80

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Solution

The fourth proportional to 2,023.79, 3,034.74 and 1,407.80 is: 2,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.79 : 3,034.74 = 1,407.80 : x
  2. Step 2: Convert to fraction form
    2,023.79/3,034.74 = 1,407.80/x
  3. Step 3: Cross multiply
    2,023.79x = 3,034.74 × 1,407.80
  4. Step 4: Simplify right side
    2,023.79x = 4,272,306.97
  5. Step 5: Solve for x
    x = 4,272,306.97/2,023.79
  6. Step 6: Final answer
    x = 2,111.04

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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.