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Finding the Fourth Proportional to 1,977.78, 2,966.64 and 517.02

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Solution

The fourth proportional to 1,977.78, 2,966.64 and 517.02 is: 775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.78 : 2,966.64 = 517.02 : x
  2. Step 2: Convert to fraction form
    1,977.78/2,966.64 = 517.02/x
  3. Step 3: Cross multiply
    1,977.78x = 2,966.64 × 517.02
  4. Step 4: Simplify right side
    1,977.78x = 1,533,812.21
  5. Step 5: Solve for x
    x = 1,533,812.21/1,977.78
  6. Step 6: Final answer
    x = 775.52

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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.