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Finding the Fourth Proportional to 1,648.24, 2,275.19 and 984.85

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Solution

The fourth proportional to 1,648.24, 2,275.19 and 984.85 is: 1,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.24 : 2,275.19 = 984.85 : x
  2. Step 2: Convert to fraction form
    1,648.24/2,275.19 = 984.85/x
  3. Step 3: Cross multiply
    1,648.24x = 2,275.19 × 984.85
  4. Step 4: Simplify right side
    1,648.24x = 2,240,720.87
  5. Step 5: Solve for x
    x = 2,240,720.87/1,648.24
  6. Step 6: Final answer
    x = 1,359.46

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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.