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Finding the Fourth Proportional to 1,668.52, 2,502.66 and 514.20

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Solution

The fourth proportional to 1,668.52, 2,502.66 and 514.20 is: 771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.52 : 2,502.66 = 514.20 : x
  2. Step 2: Convert to fraction form
    1,668.52/2,502.66 = 514.20/x
  3. Step 3: Cross multiply
    1,668.52x = 2,502.66 × 514.20
  4. Step 4: Simplify right side
    1,668.52x = 1,286,867.77
  5. Step 5: Solve for x
    x = 1,286,867.77/1,668.52
  6. Step 6: Final answer
    x = 771.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.