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Finding the Fourth Proportional to 1,575.75, 2,364.87 and 882.29

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Solution

The fourth proportional to 1,575.75, 2,364.87 and 882.29 is: 1,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.75 : 2,364.87 = 882.29 : x
  2. Step 2: Convert to fraction form
    1,575.75/2,364.87 = 882.29/x
  3. Step 3: Cross multiply
    1,575.75x = 2,364.87 × 882.29
  4. Step 4: Simplify right side
    1,575.75x = 2,086,489.33
  5. Step 5: Solve for x
    x = 2,086,489.33/1,575.75
  6. Step 6: Final answer
    x = 1,324.12

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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.