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Finding the Fourth Proportional to 2,223.71, 3,333.76 and 926.15

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Solution

The fourth proportional to 2,223.71, 3,333.76 and 926.15 is: 1,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.71 : 3,333.76 = 926.15 : x
  2. Step 2: Convert to fraction form
    2,223.71/3,333.76 = 926.15/x
  3. Step 3: Cross multiply
    2,223.71x = 3,333.76 × 926.15
  4. Step 4: Simplify right side
    2,223.71x = 3,087,561.82
  5. Step 5: Solve for x
    x = 3,087,561.82/2,223.71
  6. Step 6: Final answer
    x = 1,388.47

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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.