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Finding the Fourth Proportional to 2,342.90, 3,514.70 and 882.40

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Solution

The fourth proportional to 2,342.90, 3,514.70 and 882.40 is: 1,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.90 : 3,514.70 = 882.40 : x
  2. Step 2: Convert to fraction form
    2,342.90/3,514.70 = 882.40/x
  3. Step 3: Cross multiply
    2,342.90x = 3,514.70 × 882.40
  4. Step 4: Simplify right side
    2,342.90x = 3,101,349.29
  5. Step 5: Solve for x
    x = 3,101,349.29/2,342.90
  6. Step 6: Final answer
    x = 1,323.72

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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.