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Finding the Fourth Proportional to 1,410.30, 2,111.40 and 863.55

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Solution

The fourth proportional to 1,410.30, 2,111.40 and 863.55 is: 1,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.30 : 2,111.40 = 863.55 : x
  2. Step 2: Convert to fraction form
    1,410.30/2,111.40 = 863.55/x
  3. Step 3: Cross multiply
    1,410.30x = 2,111.40 × 863.55
  4. Step 4: Simplify right side
    1,410.30x = 1,823,299.47
  5. Step 5: Solve for x
    x = 1,823,299.47/1,410.30
  6. Step 6: Final answer
    x = 1,292.85

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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.