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Finding the Fourth Proportional to 2,143.84, 2,954.16 and 2,009.92

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Solution

The fourth proportional to 2,143.84, 2,954.16 and 2,009.92 is: 2,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.84 : 2,954.16 = 2,009.92 : x
  2. Step 2: Convert to fraction form
    2,143.84/2,954.16 = 2,009.92/x
  3. Step 3: Cross multiply
    2,143.84x = 2,954.16 × 2,009.92
  4. Step 4: Simplify right side
    2,143.84x = 5,937,625.27
  5. Step 5: Solve for x
    x = 5,937,625.27/2,143.84
  6. Step 6: Final answer
    x = 2,769.62

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1.5x scale

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.