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Finding the Fourth Proportional to 2,566.47, 3,849.96 and 923.66

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Solution

The fourth proportional to 2,566.47, 3,849.96 and 923.66 is: 1,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.47 : 3,849.96 = 923.66 : x
  2. Step 2: Convert to fraction form
    2,566.47/3,849.96 = 923.66/x
  3. Step 3: Cross multiply
    2,566.47x = 3,849.96 × 923.66
  4. Step 4: Simplify right side
    2,566.47x = 3,556,034.80
  5. Step 5: Solve for x
    x = 3,556,034.80/2,566.47
  6. Step 6: Final answer
    x = 1,385.57

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1.5x scale

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.