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Finding the Fourth Proportional to 2,973.62, 4,103.54 and 1,794.74

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Solution

The fourth proportional to 2,973.62, 4,103.54 and 1,794.74 is: 2,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.62 : 4,103.54 = 1,794.74 : x
  2. Step 2: Convert to fraction form
    2,973.62/4,103.54 = 1,794.74/x
  3. Step 3: Cross multiply
    2,973.62x = 4,103.54 × 1,794.74
  4. Step 4: Simplify right side
    2,973.62x = 7,364,787.38
  5. Step 5: Solve for x
    x = 7,364,787.38/2,973.62
  6. Step 6: Final answer
    x = 2,476.71

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1.5x scale

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.