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Finding the Fourth Proportional to 2,710.59, 4,067.17 and 1,878.93

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Solution

The fourth proportional to 2,710.59, 4,067.17 and 1,878.93 is: 2,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.59 : 4,067.17 = 1,878.93 : x
  2. Step 2: Convert to fraction form
    2,710.59/4,067.17 = 1,878.93/x
  3. Step 3: Cross multiply
    2,710.59x = 4,067.17 × 1,878.93
  4. Step 4: Simplify right side
    2,710.59x = 7,641,923.03
  5. Step 5: Solve for x
    x = 7,641,923.03/2,710.59
  6. Step 6: Final answer
    x = 2,819.28

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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.