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Finding the Fourth Proportional to 2,323.06, 3,203.68 and 2,155.39

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Solution

The fourth proportional to 2,323.06, 3,203.68 and 2,155.39 is: 2,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.06 : 3,203.68 = 2,155.39 : x
  2. Step 2: Convert to fraction form
    2,323.06/3,203.68 = 2,155.39/x
  3. Step 3: Cross multiply
    2,323.06x = 3,203.68 × 2,155.39
  4. Step 4: Simplify right side
    2,323.06x = 6,905,179.84
  5. Step 5: Solve for x
    x = 6,905,179.84/2,323.06
  6. Step 6: Final answer
    x = 2,972.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.