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Finding the Fourth Proportional to 2,514, 3,469.54 and 1,466.14

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Solution

The fourth proportional to 2,514, 3,469.54 and 1,466.14 is: 2,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514 : 3,469.54 = 1,466.14 : x
  2. Step 2: Convert to fraction form
    2,514/3,469.54 = 1,466.14/x
  3. Step 3: Cross multiply
    2,514x = 3,469.54 × 1,466.14
  4. Step 4: Simplify right side
    2,514x = 5,086,831.38
  5. Step 5: Solve for x
    x = 5,086,831.38/2,514
  6. Step 6: Final answer
    x = 2,023.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.