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Finding the Fourth Proportional to 2,661.84, 3,673.14 and 1,542.78

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Solution

The fourth proportional to 2,661.84, 3,673.14 and 1,542.78 is: 2,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.84 : 3,673.14 = 1,542.78 : x
  2. Step 2: Convert to fraction form
    2,661.84/3,673.14 = 1,542.78/x
  3. Step 3: Cross multiply
    2,661.84x = 3,673.14 × 1,542.78
  4. Step 4: Simplify right side
    2,661.84x = 5,666,846.93
  5. Step 5: Solve for x
    x = 5,666,846.93/2,661.84
  6. Step 6: Final answer
    x = 2,128.92

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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.