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Finding the Fourth Proportional to 2,223.06, 3,069.03 and 1,384.48

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Solution

The fourth proportional to 2,223.06, 3,069.03 and 1,384.48 is: 1,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.06 : 3,069.03 = 1,384.48 : x
  2. Step 2: Convert to fraction form
    2,223.06/3,069.03 = 1,384.48/x
  3. Step 3: Cross multiply
    2,223.06x = 3,069.03 × 1,384.48
  4. Step 4: Simplify right side
    2,223.06x = 4,249,010.65
  5. Step 5: Solve for x
    x = 4,249,010.65/2,223.06
  6. Step 6: Final answer
    x = 1,911.33

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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.