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Finding the Fourth Proportional to 1,777.57, 2,666.79 and 682.02

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Solution

The fourth proportional to 1,777.57, 2,666.79 and 682.02 is: 1,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.57 : 2,666.79 = 682.02 : x
  2. Step 2: Convert to fraction form
    1,777.57/2,666.79 = 682.02/x
  3. Step 3: Cross multiply
    1,777.57x = 2,666.79 × 682.02
  4. Step 4: Simplify right side
    1,777.57x = 1,818,804.12
  5. Step 5: Solve for x
    x = 1,818,804.12/1,777.57
  6. Step 6: Final answer
    x = 1,023.20

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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.