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Finding the Fourth Proportional to 1,410.12, 2,113.92 and 862.56

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Solution

The fourth proportional to 1,410.12, 2,113.92 and 862.56 is: 1,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.12 : 2,113.92 = 862.56 : x
  2. Step 2: Convert to fraction form
    1,410.12/2,113.92 = 862.56/x
  3. Step 3: Cross multiply
    1,410.12x = 2,113.92 × 862.56
  4. Step 4: Simplify right side
    1,410.12x = 1,823,382.84
  5. Step 5: Solve for x
    x = 1,823,382.84/1,410.12
  6. Step 6: Final answer
    x = 1,293.07

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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.