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Finding the Fourth Proportional to 1,559.47, 2,340.24 and 829.57

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Solution

The fourth proportional to 1,559.47, 2,340.24 and 829.57 is: 1,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.47 : 2,340.24 = 829.57 : x
  2. Step 2: Convert to fraction form
    1,559.47/2,340.24 = 829.57/x
  3. Step 3: Cross multiply
    1,559.47x = 2,340.24 × 829.57
  4. Step 4: Simplify right side
    1,559.47x = 1,941,392.90
  5. Step 5: Solve for x
    x = 1,941,392.90/1,559.47
  6. Step 6: Final answer
    x = 1,244.91

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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.