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Finding the Fourth Proportional to 3,182.94, 4,774.93 and 991.40

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Solution

The fourth proportional to 3,182.94, 4,774.93 and 991.40 is: 1,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.94 : 4,774.93 = 991.40 : x
  2. Step 2: Convert to fraction form
    3,182.94/4,774.93 = 991.40/x
  3. Step 3: Cross multiply
    3,182.94x = 4,774.93 × 991.40
  4. Step 4: Simplify right side
    3,182.94x = 4,733,839.25
  5. Step 5: Solve for x
    x = 4,733,839.25/3,182.94
  6. Step 6: Final answer
    x = 1,487.25

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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.