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Finding the Fourth Proportional to 2,922.38, 4,026.42 and 1,925.90

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Solution

The fourth proportional to 2,922.38, 4,026.42 and 1,925.90 is: 2,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.38 : 4,026.42 = 1,925.90 : x
  2. Step 2: Convert to fraction form
    2,922.38/4,026.42 = 1,925.90/x
  3. Step 3: Cross multiply
    2,922.38x = 4,026.42 × 1,925.90
  4. Step 4: Simplify right side
    2,922.38x = 7,754,482.28
  5. Step 5: Solve for x
    x = 7,754,482.28/2,922.38
  6. Step 6: Final answer
    x = 2,653.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.