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Finding the Fourth Proportional to 2,174.50, 3,262.74 and 875.71

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Solution

The fourth proportional to 2,174.50, 3,262.74 and 875.71 is: 1,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.50 : 3,262.74 = 875.71 : x
  2. Step 2: Convert to fraction form
    2,174.50/3,262.74 = 875.71/x
  3. Step 3: Cross multiply
    2,174.50x = 3,262.74 × 875.71
  4. Step 4: Simplify right side
    2,174.50x = 2,857,214.05
  5. Step 5: Solve for x
    x = 2,857,214.05/2,174.50
  6. Step 6: Final answer
    x = 1,313.96

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1.5x scale

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.