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Finding the Fourth Proportional to 2,463.84, 3,678.12 and 2,283.84

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Solution

The fourth proportional to 2,463.84, 3,678.12 and 2,283.84 is: 3,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.84 : 3,678.12 = 2,283.84 : x
  2. Step 2: Convert to fraction form
    2,463.84/3,678.12 = 2,283.84/x
  3. Step 3: Cross multiply
    2,463.84x = 3,678.12 × 2,283.84
  4. Step 4: Simplify right side
    2,463.84x = 8,400,237.58
  5. Step 5: Solve for x
    x = 8,400,237.58/2,463.84
  6. Step 6: Final answer
    x = 3,409.41

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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.