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Finding the Fourth Proportional to 2,653.67, 3,980.51 and 922.30

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Solution

The fourth proportional to 2,653.67, 3,980.51 and 922.30 is: 1,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.67 : 3,980.51 = 922.30 : x
  2. Step 2: Convert to fraction form
    2,653.67/3,980.51 = 922.30/x
  3. Step 3: Cross multiply
    2,653.67x = 3,980.51 × 922.30
  4. Step 4: Simplify right side
    2,653.67x = 3,671,224.37
  5. Step 5: Solve for x
    x = 3,671,224.37/2,653.67
  6. Step 6: Final answer
    x = 1,383.45

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Similar ratio
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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.