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Finding the Fourth Proportional to 2,154.76, 3,233.06 and 922.44

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Solution

The fourth proportional to 2,154.76, 3,233.06 and 922.44 is: 1,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.76 : 3,233.06 = 922.44 : x
  2. Step 2: Convert to fraction form
    2,154.76/3,233.06 = 922.44/x
  3. Step 3: Cross multiply
    2,154.76x = 3,233.06 × 922.44
  4. Step 4: Simplify right side
    2,154.76x = 2,982,303.87
  5. Step 5: Solve for x
    x = 2,982,303.87/2,154.76
  6. Step 6: Final answer
    x = 1,384.05

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1.5x scale

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.