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Finding the Fourth Proportional to 3,458.90, 4,772.82 and 2,042.65

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Solution

The fourth proportional to 3,458.90, 4,772.82 and 2,042.65 is: 2,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.90 : 4,772.82 = 2,042.65 : x
  2. Step 2: Convert to fraction form
    3,458.90/4,772.82 = 2,042.65/x
  3. Step 3: Cross multiply
    3,458.90x = 4,772.82 × 2,042.65
  4. Step 4: Simplify right side
    3,458.90x = 9,749,200.77
  5. Step 5: Solve for x
    x = 9,749,200.77/3,458.90
  6. Step 6: Final answer
    x = 2,818.58

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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.