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Finding the Fourth Proportional to 1,454.71, 2,004.12 and 1,034.41

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Solution

The fourth proportional to 1,454.71, 2,004.12 and 1,034.41 is: 1,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.71 : 2,004.12 = 1,034.41 : x
  2. Step 2: Convert to fraction form
    1,454.71/2,004.12 = 1,034.41/x
  3. Step 3: Cross multiply
    1,454.71x = 2,004.12 × 1,034.41
  4. Step 4: Simplify right side
    1,454.71x = 2,073,081.77
  5. Step 5: Solve for x
    x = 2,073,081.77/1,454.71
  6. Step 6: Final answer
    x = 1,425.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.