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Finding the Fourth Proportional to 2,777.76, 3,833.10 and 1,658.64

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Solution

The fourth proportional to 2,777.76, 3,833.10 and 1,658.64 is: 2,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.76 : 3,833.10 = 1,658.64 : x
  2. Step 2: Convert to fraction form
    2,777.76/3,833.10 = 1,658.64/x
  3. Step 3: Cross multiply
    2,777.76x = 3,833.10 × 1,658.64
  4. Step 4: Simplify right side
    2,777.76x = 6,357,732.98
  5. Step 5: Solve for x
    x = 6,357,732.98/2,777.76
  6. Step 6: Final answer
    x = 2,288.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.