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Finding the Fourth Proportional to 3,774.33, 5,661.50 and 1,177.47

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Solution

The fourth proportional to 3,774.33, 5,661.50 and 1,177.47 is: 1,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.33 : 5,661.50 = 1,177.47 : x
  2. Step 2: Convert to fraction form
    3,774.33/5,661.50 = 1,177.47/x
  3. Step 3: Cross multiply
    3,774.33x = 5,661.50 × 1,177.47
  4. Step 4: Simplify right side
    3,774.33x = 6,666,240.52
  5. Step 5: Solve for x
    x = 6,666,240.52/3,774.33
  6. Step 6: Final answer
    x = 1,766.21

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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.