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Finding the Fourth Proportional to 2,551.92, 3,802.23 and 2,384.28

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Solution

The fourth proportional to 2,551.92, 3,802.23 and 2,384.28 is: 3,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.92 : 3,802.23 = 2,384.28 : x
  2. Step 2: Convert to fraction form
    2,551.92/3,802.23 = 2,384.28/x
  3. Step 3: Cross multiply
    2,551.92x = 3,802.23 × 2,384.28
  4. Step 4: Simplify right side
    2,551.92x = 9,065,580.94
  5. Step 5: Solve for x
    x = 9,065,580.94/2,551.92
  6. Step 6: Final answer
    x = 3,552.45

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Why These Related Problems?

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