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Finding the Fourth Proportional to 1,911.51, 2,862 and 1,251.45

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Solution

The fourth proportional to 1,911.51, 2,862 and 1,251.45 is: 1,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.51 : 2,862 = 1,251.45 : x
  2. Step 2: Convert to fraction form
    1,911.51/2,862 = 1,251.45/x
  3. Step 3: Cross multiply
    1,911.51x = 2,862 × 1,251.45
  4. Step 4: Simplify right side
    1,911.51x = 3,581,649.90
  5. Step 5: Solve for x
    x = 3,581,649.90/1,911.51
  6. Step 6: Final answer
    x = 1,873.73

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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.