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Finding the Fourth Proportional to 2,317.75, 3,475.71 and 856.41

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Solution

The fourth proportional to 2,317.75, 3,475.71 and 856.41 is: 1,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.75 : 3,475.71 = 856.41 : x
  2. Step 2: Convert to fraction form
    2,317.75/3,475.71 = 856.41/x
  3. Step 3: Cross multiply
    2,317.75x = 3,475.71 × 856.41
  4. Step 4: Simplify right side
    2,317.75x = 2,976,619.77
  5. Step 5: Solve for x
    x = 2,976,619.77/2,317.75
  6. Step 6: Final answer
    x = 1,284.27

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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.