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Finding the Fourth Proportional to 2,948.32, 4,418.32 and 2,296.16

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Solution

The fourth proportional to 2,948.32, 4,418.32 and 2,296.16 is: 3,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.32 : 4,418.32 = 2,296.16 : x
  2. Step 2: Convert to fraction form
    2,948.32/4,418.32 = 2,296.16/x
  3. Step 3: Cross multiply
    2,948.32x = 4,418.32 × 2,296.16
  4. Step 4: Simplify right side
    2,948.32x = 10,145,169.65
  5. Step 5: Solve for x
    x = 10,145,169.65/2,948.32
  6. Step 6: Final answer
    x = 3,441.00

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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.