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Finding the Fourth Proportional to 2,342.79, 3,514.14 and 882.05

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Solution

The fourth proportional to 2,342.79, 3,514.14 and 882.05 is: 1,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.79 : 3,514.14 = 882.05 : x
  2. Step 2: Convert to fraction form
    2,342.79/3,514.14 = 882.05/x
  3. Step 3: Cross multiply
    2,342.79x = 3,514.14 × 882.05
  4. Step 4: Simplify right side
    2,342.79x = 3,099,629.62
  5. Step 5: Solve for x
    x = 3,099,629.62/2,342.79
  6. Step 6: Final answer
    x = 1,323.05

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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.