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Finding the Fourth Proportional to 2,698.62, 4,046.76 and 1,139.32

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Solution

The fourth proportional to 2,698.62, 4,046.76 and 1,139.32 is: 1,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.62 : 4,046.76 = 1,139.32 : x
  2. Step 2: Convert to fraction form
    2,698.62/4,046.76 = 1,139.32/x
  3. Step 3: Cross multiply
    2,698.62x = 4,046.76 × 1,139.32
  4. Step 4: Simplify right side
    2,698.62x = 4,610,554.60
  5. Step 5: Solve for x
    x = 4,610,554.60/2,698.62
  6. Step 6: Final answer
    x = 1,708.49

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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.