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Finding the Fourth Proportional to 3,182.66, 4,773.80 and 1,950.26

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Solution

The fourth proportional to 3,182.66, 4,773.80 and 1,950.26 is: 2,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.66 : 4,773.80 = 1,950.26 : x
  2. Step 2: Convert to fraction form
    3,182.66/4,773.80 = 1,950.26/x
  3. Step 3: Cross multiply
    3,182.66x = 4,773.80 × 1,950.26
  4. Step 4: Simplify right side
    3,182.66x = 9,310,151.19
  5. Step 5: Solve for x
    x = 9,310,151.19/3,182.66
  6. Step 6: Final answer
    x = 2,925.27

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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.