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Finding the Fourth Proportional to 2,264.24, 3,396.01 and 930.17

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Solution

The fourth proportional to 2,264.24, 3,396.01 and 930.17 is: 1,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.24 : 3,396.01 = 930.17 : x
  2. Step 2: Convert to fraction form
    2,264.24/3,396.01 = 930.17/x
  3. Step 3: Cross multiply
    2,264.24x = 3,396.01 × 930.17
  4. Step 4: Simplify right side
    2,264.24x = 3,158,866.62
  5. Step 5: Solve for x
    x = 3,158,866.62/2,264.24
  6. Step 6: Final answer
    x = 1,395.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.