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Finding the Fourth Proportional to 1,972.59, 2,958.99 and 511.74

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Solution

The fourth proportional to 1,972.59, 2,958.99 and 511.74 is: 767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.59 : 2,958.99 = 511.74 : x
  2. Step 2: Convert to fraction form
    1,972.59/2,958.99 = 511.74/x
  3. Step 3: Cross multiply
    1,972.59x = 2,958.99 × 511.74
  4. Step 4: Simplify right side
    1,972.59x = 1,514,233.54
  5. Step 5: Solve for x
    x = 1,514,233.54/1,972.59
  6. Step 6: Final answer
    x = 767.64

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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.