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Finding the Fourth Proportional to 2,653.68, 3,980.88 and 922.08

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Solution

The fourth proportional to 2,653.68, 3,980.88 and 922.08 is: 1,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.68 : 3,980.88 = 922.08 : x
  2. Step 2: Convert to fraction form
    2,653.68/3,980.88 = 922.08/x
  3. Step 3: Cross multiply
    2,653.68x = 3,980.88 × 922.08
  4. Step 4: Simplify right side
    2,653.68x = 3,670,689.83
  5. Step 5: Solve for x
    x = 3,670,689.83/2,653.68
  6. Step 6: Final answer
    x = 1,383.25

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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.