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Finding the Fourth Proportional to 2,514.18, 3,771.48 and 665.30

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Solution

The fourth proportional to 2,514.18, 3,771.48 and 665.30 is: 998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.18 : 3,771.48 = 665.30 : x
  2. Step 2: Convert to fraction form
    2,514.18/3,771.48 = 665.30/x
  3. Step 3: Cross multiply
    2,514.18x = 3,771.48 × 665.30
  4. Step 4: Simplify right side
    2,514.18x = 2,509,165.64
  5. Step 5: Solve for x
    x = 2,509,165.64/2,514.18
  6. Step 6: Final answer
    x = 998.01

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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.