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Finding the Fourth Proportional to 2,486.98, 3,731.82 and 1,870.30

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Solution

The fourth proportional to 2,486.98, 3,731.82 and 1,870.30 is: 2,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.98 : 3,731.82 = 1,870.30 : x
  2. Step 2: Convert to fraction form
    2,486.98/3,731.82 = 1,870.30/x
  3. Step 3: Cross multiply
    2,486.98x = 3,731.82 × 1,870.30
  4. Step 4: Simplify right side
    2,486.98x = 6,979,622.95
  5. Step 5: Solve for x
    x = 6,979,622.95/2,486.98
  6. Step 6: Final answer
    x = 2,806.47

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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.