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Finding the Fourth Proportional to 3,132.78, 4,698.09 and 1,283.37

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Solution

The fourth proportional to 3,132.78, 4,698.09 and 1,283.37 is: 1,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.78 : 4,698.09 = 1,283.37 : x
  2. Step 2: Convert to fraction form
    3,132.78/4,698.09 = 1,283.37/x
  3. Step 3: Cross multiply
    3,132.78x = 4,698.09 × 1,283.37
  4. Step 4: Simplify right side
    3,132.78x = 6,029,387.76
  5. Step 5: Solve for x
    x = 6,029,387.76/3,132.78
  6. Step 6: Final answer
    x = 1,924.61

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