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Finding the Fourth Proportional to 3,182.23, 4,773.98 and 990.87

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Solution

The fourth proportional to 3,182.23, 4,773.98 and 990.87 is: 1,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.23 : 4,773.98 = 990.87 : x
  2. Step 2: Convert to fraction form
    3,182.23/4,773.98 = 990.87/x
  3. Step 3: Cross multiply
    3,182.23x = 4,773.98 × 990.87
  4. Step 4: Simplify right side
    3,182.23x = 4,730,393.56
  5. Step 5: Solve for x
    x = 4,730,393.56/3,182.23
  6. Step 6: Final answer
    x = 1,486.50

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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.