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Finding the Fourth Proportional to 2,652.84, 3,979.17 and 921.42

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Solution

The fourth proportional to 2,652.84, 3,979.17 and 921.42 is: 1,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.84 : 3,979.17 = 921.42 : x
  2. Step 2: Convert to fraction form
    2,652.84/3,979.17 = 921.42/x
  3. Step 3: Cross multiply
    2,652.84x = 3,979.17 × 921.42
  4. Step 4: Simplify right side
    2,652.84x = 3,666,486.82
  5. Step 5: Solve for x
    x = 3,666,486.82/2,652.84
  6. Step 6: Final answer
    x = 1,382.10

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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.