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Finding the Fourth Proportional to 2,223.92, 3,069.16 and 1,384.66

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Solution

The fourth proportional to 2,223.92, 3,069.16 and 1,384.66 is: 1,910.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.92 : 3,069.16 = 1,384.66 : x
  2. Step 2: Convert to fraction form
    2,223.92/3,069.16 = 1,384.66/x
  3. Step 3: Cross multiply
    2,223.92x = 3,069.16 × 1,384.66
  4. Step 4: Simplify right side
    2,223.92x = 4,249,743.46
  5. Step 5: Solve for x
    x = 4,249,743.46/2,223.92
  6. Step 6: Final answer
    x = 1,910.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.