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Finding the Fourth Proportional to 2,323.47, 3,477.92 and 1,224.50

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Solution

The fourth proportional to 2,323.47, 3,477.92 and 1,224.50 is: 1,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.47 : 3,477.92 = 1,224.50 : x
  2. Step 2: Convert to fraction form
    2,323.47/3,477.92 = 1,224.50/x
  3. Step 3: Cross multiply
    2,323.47x = 3,477.92 × 1,224.50
  4. Step 4: Simplify right side
    2,323.47x = 4,258,715.61
  5. Step 5: Solve for x
    x = 4,258,715.61/2,323.47
  6. Step 6: Final answer
    x = 1,832.91

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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.