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Finding the Fourth Proportional to 3,137.98, 4,330.20 and 1,810.66

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Solution

The fourth proportional to 3,137.98, 4,330.20 and 1,810.66 is: 2,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.98 : 4,330.20 = 1,810.66 : x
  2. Step 2: Convert to fraction form
    3,137.98/4,330.20 = 1,810.66/x
  3. Step 3: Cross multiply
    3,137.98x = 4,330.20 × 1,810.66
  4. Step 4: Simplify right side
    3,137.98x = 7,840,519.93
  5. Step 5: Solve for x
    x = 7,840,519.93/3,137.98
  6. Step 6: Final answer
    x = 2,498.59

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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.