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Finding the Fourth Proportional to 2,148, 2,965.20 and 1,320.48

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Solution

The fourth proportional to 2,148, 2,965.20 and 1,320.48 is: 1,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148 : 2,965.20 = 1,320.48 : x
  2. Step 2: Convert to fraction form
    2,148/2,965.20 = 1,320.48/x
  3. Step 3: Cross multiply
    2,148x = 2,965.20 × 1,320.48
  4. Step 4: Simplify right side
    2,148x = 3,915,487.30
  5. Step 5: Solve for x
    x = 3,915,487.30/2,148
  6. Step 6: Final answer
    x = 1,822.85

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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.