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Finding the Fourth Proportional to 3,458.70, 4,773.06 and 2,042.28

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Solution

The fourth proportional to 3,458.70, 4,773.06 and 2,042.28 is: 2,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.70 : 4,773.06 = 2,042.28 : x
  2. Step 2: Convert to fraction form
    3,458.70/4,773.06 = 2,042.28/x
  3. Step 3: Cross multiply
    3,458.70x = 4,773.06 × 2,042.28
  4. Step 4: Simplify right side
    3,458.70x = 9,747,924.98
  5. Step 5: Solve for x
    x = 9,747,924.98/3,458.70
  6. Step 6: Final answer
    x = 2,818.38

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1.5x scale

Why These Related Problems?

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