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Finding the Fourth Proportional to 1,651.95, 2,478.96 and 922.05

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Solution

The fourth proportional to 1,651.95, 2,478.96 and 922.05 is: 1,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.95 : 2,478.96 = 922.05 : x
  2. Step 2: Convert to fraction form
    1,651.95/2,478.96 = 922.05/x
  3. Step 3: Cross multiply
    1,651.95x = 2,478.96 × 922.05
  4. Step 4: Simplify right side
    1,651.95x = 2,285,725.07
  5. Step 5: Solve for x
    x = 2,285,725.07/1,651.95
  6. Step 6: Final answer
    x = 1,383.65

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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.