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Finding the Fourth Proportional to 3,042.80, 4,200.86 and 1,924.72

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Solution

The fourth proportional to 3,042.80, 4,200.86 and 1,924.72 is: 2,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.80 : 4,200.86 = 1,924.72 : x
  2. Step 2: Convert to fraction form
    3,042.80/4,200.86 = 1,924.72/x
  3. Step 3: Cross multiply
    3,042.80x = 4,200.86 × 1,924.72
  4. Step 4: Simplify right side
    3,042.80x = 8,085,479.26
  5. Step 5: Solve for x
    x = 8,085,479.26/3,042.80
  6. Step 6: Final answer
    x = 2,657.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.