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Finding the Fourth Proportional to 2,948.16, 4,422.18 and 756.84

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Solution

The fourth proportional to 2,948.16, 4,422.18 and 756.84 is: 1,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.16 : 4,422.18 = 756.84 : x
  2. Step 2: Convert to fraction form
    2,948.16/4,422.18 = 756.84/x
  3. Step 3: Cross multiply
    2,948.16x = 4,422.18 × 756.84
  4. Step 4: Simplify right side
    2,948.16x = 3,346,882.71
  5. Step 5: Solve for x
    x = 3,346,882.71/2,948.16
  6. Step 6: Final answer
    x = 1,135.24

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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.