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Finding the Fourth Proportional to 2,247.66, 3,368.07 and 948.42

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Solution

The fourth proportional to 2,247.66, 3,368.07 and 948.42 is: 1,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.66 : 3,368.07 = 948.42 : x
  2. Step 2: Convert to fraction form
    2,247.66/3,368.07 = 948.42/x
  3. Step 3: Cross multiply
    2,247.66x = 3,368.07 × 948.42
  4. Step 4: Simplify right side
    2,247.66x = 3,194,344.95
  5. Step 5: Solve for x
    x = 3,194,344.95/2,247.66
  6. Step 6: Final answer
    x = 1,421.19

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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.