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Finding the Fourth Proportional to 1,977.60, 2,966.50 and 516.74

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Solution

The fourth proportional to 1,977.60, 2,966.50 and 516.74 is: 775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.60 : 2,966.50 = 516.74 : x
  2. Step 2: Convert to fraction form
    1,977.60/2,966.50 = 516.74/x
  3. Step 3: Cross multiply
    1,977.60x = 2,966.50 × 516.74
  4. Step 4: Simplify right side
    1,977.60x = 1,532,909.21
  5. Step 5: Solve for x
    x = 1,532,909.21/1,977.60
  6. Step 6: Final answer
    x = 775.14

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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.