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Finding the Fourth Proportional to 1,560.12, 2,340.86 and 829.52

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Solution

The fourth proportional to 1,560.12, 2,340.86 and 829.52 is: 1,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.12 : 2,340.86 = 829.52 : x
  2. Step 2: Convert to fraction form
    1,560.12/2,340.86 = 829.52/x
  3. Step 3: Cross multiply
    1,560.12x = 2,340.86 × 829.52
  4. Step 4: Simplify right side
    1,560.12x = 1,941,790.19
  5. Step 5: Solve for x
    x = 1,941,790.19/1,560.12
  6. Step 6: Final answer
    x = 1,244.64

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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.