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Finding the Fourth Proportional to 2,658.91, 3,663.90 and 2,057.74

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Solution

The fourth proportional to 2,658.91, 3,663.90 and 2,057.74 is: 2,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.91 : 3,663.90 = 2,057.74 : x
  2. Step 2: Convert to fraction form
    2,658.91/3,663.90 = 2,057.74/x
  3. Step 3: Cross multiply
    2,658.91x = 3,663.90 × 2,057.74
  4. Step 4: Simplify right side
    2,658.91x = 7,539,353.59
  5. Step 5: Solve for x
    x = 7,539,353.59/2,658.91
  6. Step 6: Final answer
    x = 2,835.51

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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.