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Finding the Fourth Proportional to 1,559.97, 2,339.19 and 974.07

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Solution

The fourth proportional to 1,559.97, 2,339.19 and 974.07 is: 1,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.97 : 2,339.19 = 974.07 : x
  2. Step 2: Convert to fraction form
    1,559.97/2,339.19 = 974.07/x
  3. Step 3: Cross multiply
    1,559.97x = 2,339.19 × 974.07
  4. Step 4: Simplify right side
    1,559.97x = 2,278,534.80
  5. Step 5: Solve for x
    x = 2,278,534.80/1,559.97
  6. Step 6: Final answer
    x = 1,460.63

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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.