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Finding the Fourth Proportional to 1,653.17, 2,479.84 and 922.19

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Solution

The fourth proportional to 1,653.17, 2,479.84 and 922.19 is: 1,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.17 : 2,479.84 = 922.19 : x
  2. Step 2: Convert to fraction form
    1,653.17/2,479.84 = 922.19/x
  3. Step 3: Cross multiply
    1,653.17x = 2,479.84 × 922.19
  4. Step 4: Simplify right side
    1,653.17x = 2,286,887.54
  5. Step 5: Solve for x
    x = 2,286,887.54/1,653.17
  6. Step 6: Final answer
    x = 1,383.33

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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.