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Finding the Fourth Proportional to 2,324.64, 3,483.84 and 1,227.84

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Solution

The fourth proportional to 2,324.64, 3,483.84 and 1,227.84 is: 1,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.64 : 3,483.84 = 1,227.84 : x
  2. Step 2: Convert to fraction form
    2,324.64/3,483.84 = 1,227.84/x
  3. Step 3: Cross multiply
    2,324.64x = 3,483.84 × 1,227.84
  4. Step 4: Simplify right side
    2,324.64x = 4,277,598.11
  5. Step 5: Solve for x
    x = 4,277,598.11/2,324.64
  6. Step 6: Final answer
    x = 1,840.11

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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.