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Finding the Fourth Proportional to 2,154.66, 3,232.00 and 856.13

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Solution

The fourth proportional to 2,154.66, 3,232.00 and 856.13 is: 1,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.66 : 3,232.00 = 856.13 : x
  2. Step 2: Convert to fraction form
    2,154.66/3,232.00 = 856.13/x
  3. Step 3: Cross multiply
    2,154.66x = 3,232.00 × 856.13
  4. Step 4: Simplify right side
    2,154.66x = 2,766,993.86
  5. Step 5: Solve for x
    x = 2,766,993.86/2,154.66
  6. Step 6: Final answer
    x = 1,284.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.