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Finding the Fourth Proportional to 2,658.93, 3,984.90 and 1,177.64

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Solution

The fourth proportional to 2,658.93, 3,984.90 and 1,177.64 is: 1,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.93 : 3,984.90 = 1,177.64 : x
  2. Step 2: Convert to fraction form
    2,658.93/3,984.90 = 1,177.64/x
  3. Step 3: Cross multiply
    2,658.93x = 3,984.90 × 1,177.64
  4. Step 4: Simplify right side
    2,658.93x = 4,692,768.24
  5. Step 5: Solve for x
    x = 4,692,768.24/2,658.93
  6. Step 6: Final answer
    x = 1,764.91

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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.