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Finding the Fourth Proportional to 2,653.52, 3,980.07 and 922.14

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Solution

The fourth proportional to 2,653.52, 3,980.07 and 922.14 is: 1,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.52 : 3,980.07 = 922.14 : x
  2. Step 2: Convert to fraction form
    2,653.52/3,980.07 = 922.14/x
  3. Step 3: Cross multiply
    2,653.52x = 3,980.07 × 922.14
  4. Step 4: Simplify right side
    2,653.52x = 3,670,181.75
  5. Step 5: Solve for x
    x = 3,670,181.75/2,653.52
  6. Step 6: Final answer
    x = 1,383.14

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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.