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Finding the Fourth Proportional to 3,084.74, 4,626.97 and 893.42

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Solution

The fourth proportional to 3,084.74, 4,626.97 and 893.42 is: 1,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.74 : 4,626.97 = 893.42 : x
  2. Step 2: Convert to fraction form
    3,084.74/4,626.97 = 893.42/x
  3. Step 3: Cross multiply
    3,084.74x = 4,626.97 × 893.42
  4. Step 4: Simplify right side
    3,084.74x = 4,133,799.94
  5. Step 5: Solve for x
    x = 4,133,799.94/3,084.74
  6. Step 6: Final answer
    x = 1,340.08

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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.