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Finding the Fourth Proportional to 2,948.12, 4,421.87 and 756.80

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Solution

The fourth proportional to 2,948.12, 4,421.87 and 756.80 is: 1,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.12 : 4,421.87 = 756.80 : x
  2. Step 2: Convert to fraction form
    2,948.12/4,421.87 = 756.80/x
  3. Step 3: Cross multiply
    2,948.12x = 4,421.87 × 756.80
  4. Step 4: Simplify right side
    2,948.12x = 3,346,471.22
  5. Step 5: Solve for x
    x = 3,346,471.22/2,948.12
  6. Step 6: Final answer
    x = 1,135.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.