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Finding the Fourth Proportional to 1,641.92, 2,448.64 and 1,400

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Solution

The fourth proportional to 1,641.92, 2,448.64 and 1,400 is: 2,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.92 : 2,448.64 = 1,400 : x
  2. Step 2: Convert to fraction form
    1,641.92/2,448.64 = 1,400/x
  3. Step 3: Cross multiply
    1,641.92x = 2,448.64 × 1,400
  4. Step 4: Simplify right side
    1,641.92x = 3,428,096
  5. Step 5: Solve for x
    x = 3,428,096/1,641.92
  6. Step 6: Final answer
    x = 2,087.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.