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Finding the Fourth Proportional to 3,177.61, 4,766.71 and 985.75

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Solution

The fourth proportional to 3,177.61, 4,766.71 and 985.75 is: 1,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.61 : 4,766.71 = 985.75 : x
  2. Step 2: Convert to fraction form
    3,177.61/4,766.71 = 985.75/x
  3. Step 3: Cross multiply
    3,177.61x = 4,766.71 × 985.75
  4. Step 4: Simplify right side
    3,177.61x = 4,698,784.38
  5. Step 5: Solve for x
    x = 4,698,784.38/3,177.61
  6. Step 6: Final answer
    x = 1,478.72

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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.