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Finding the Fourth Proportional to 2,133.47, 2,943.14 and 1,838.22

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Solution

The fourth proportional to 2,133.47, 2,943.14 and 1,838.22 is: 2,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.47 : 2,943.14 = 1,838.22 : x
  2. Step 2: Convert to fraction form
    2,133.47/2,943.14 = 1,838.22/x
  3. Step 3: Cross multiply
    2,133.47x = 2,943.14 × 1,838.22
  4. Step 4: Simplify right side
    2,133.47x = 5,410,138.81
  5. Step 5: Solve for x
    x = 5,410,138.81/2,133.47
  6. Step 6: Final answer
    x = 2,535.84

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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.