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Finding the Fourth Proportional to 3,137.58, 4,703.10 and 2,042.46

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Solution

The fourth proportional to 3,137.58, 4,703.10 and 2,042.46 is: 3,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.58 : 4,703.10 = 2,042.46 : x
  2. Step 2: Convert to fraction form
    3,137.58/4,703.10 = 2,042.46/x
  3. Step 3: Cross multiply
    3,137.58x = 4,703.10 × 2,042.46
  4. Step 4: Simplify right side
    3,137.58x = 9,605,893.63
  5. Step 5: Solve for x
    x = 9,605,893.63/3,137.58
  6. Step 6: Final answer
    x = 3,061.56

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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.