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Finding the Fourth Proportional to 2,223.84, 3,316.92 and 1,912.08

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Solution

The fourth proportional to 2,223.84, 3,316.92 and 1,912.08 is: 2,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.84 : 3,316.92 = 1,912.08 : x
  2. Step 2: Convert to fraction form
    2,223.84/3,316.92 = 1,912.08/x
  3. Step 3: Cross multiply
    2,223.84x = 3,316.92 × 1,912.08
  4. Step 4: Simplify right side
    2,223.84x = 6,342,216.39
  5. Step 5: Solve for x
    x = 6,342,216.39/2,223.84
  6. Step 6: Final answer
    x = 2,851.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.