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Finding the Fourth Proportional to 2,315.85, 3,475.17 and 856.05

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Solution

The fourth proportional to 2,315.85, 3,475.17 and 856.05 is: 1,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.85 : 3,475.17 = 856.05 : x
  2. Step 2: Convert to fraction form
    2,315.85/3,475.17 = 856.05/x
  3. Step 3: Cross multiply
    2,315.85x = 3,475.17 × 856.05
  4. Step 4: Simplify right side
    2,315.85x = 2,974,919.28
  5. Step 5: Solve for x
    x = 2,974,919.28/2,315.85
  6. Step 6: Final answer
    x = 1,284.59

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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.