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Finding the Fourth Proportional to 2,870.30, 3,961.53 and 1,691.30

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Solution

The fourth proportional to 2,870.30, 3,961.53 and 1,691.30 is: 2,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.30 : 3,961.53 = 1,691.30 : x
  2. Step 2: Convert to fraction form
    2,870.30/3,961.53 = 1,691.30/x
  3. Step 3: Cross multiply
    2,870.30x = 3,961.53 × 1,691.30
  4. Step 4: Simplify right side
    2,870.30x = 6,700,135.69
  5. Step 5: Solve for x
    x = 6,700,135.69/2,870.30
  6. Step 6: Final answer
    x = 2,334.30

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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.