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Finding the Fourth Proportional to 3,404.70, 4,696.74 and 2,285.76

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Solution

The fourth proportional to 3,404.70, 4,696.74 and 2,285.76 is: 3,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.70 : 4,696.74 = 2,285.76 : x
  2. Step 2: Convert to fraction form
    3,404.70/4,696.74 = 2,285.76/x
  3. Step 3: Cross multiply
    3,404.70x = 4,696.74 × 2,285.76
  4. Step 4: Simplify right side
    3,404.70x = 10,735,620.42
  5. Step 5: Solve for x
    x = 10,735,620.42/3,404.70
  6. Step 6: Final answer
    x = 3,153.18

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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.