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Finding the Fourth Proportional to 3,000.74, 4,141.20 and 1,674.63

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Solution

The fourth proportional to 3,000.74, 4,141.20 and 1,674.63 is: 2,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.74 : 4,141.20 = 1,674.63 : x
  2. Step 2: Convert to fraction form
    3,000.74/4,141.20 = 1,674.63/x
  3. Step 3: Cross multiply
    3,000.74x = 4,141.20 × 1,674.63
  4. Step 4: Simplify right side
    3,000.74x = 6,934,977.76
  5. Step 5: Solve for x
    x = 6,934,977.76/3,000.74
  6. Step 6: Final answer
    x = 2,311.09

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Double scale
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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.