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Finding the Fourth Proportional to 2,658.76, 3,668.34 and 1,665.46

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Solution

The fourth proportional to 2,658.76, 3,668.34 and 1,665.46 is: 2,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.76 : 3,668.34 = 1,665.46 : x
  2. Step 2: Convert to fraction form
    2,658.76/3,668.34 = 1,665.46/x
  3. Step 3: Cross multiply
    2,658.76x = 3,668.34 × 1,665.46
  4. Step 4: Simplify right side
    2,658.76x = 6,109,473.54
  5. Step 5: Solve for x
    x = 6,109,473.54/2,658.76
  6. Step 6: Final answer
    x = 2,297.87

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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.