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Finding the Fourth Proportional to 2,698.92, 4,046.31 and 1,237.02

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Solution

The fourth proportional to 2,698.92, 4,046.31 and 1,237.02 is: 1,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.92 : 4,046.31 = 1,237.02 : x
  2. Step 2: Convert to fraction form
    2,698.92/4,046.31 = 1,237.02/x
  3. Step 3: Cross multiply
    2,698.92x = 4,046.31 × 1,237.02
  4. Step 4: Simplify right side
    2,698.92x = 5,005,366.40
  5. Step 5: Solve for x
    x = 5,005,366.40/2,698.92
  6. Step 6: Final answer
    x = 1,854.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.