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Finding the Fourth Proportional to 3,841.76, 5,764.01 and 1,244.70

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Solution

The fourth proportional to 3,841.76, 5,764.01 and 1,244.70 is: 1,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.76 : 5,764.01 = 1,244.70 : x
  2. Step 2: Convert to fraction form
    3,841.76/5,764.01 = 1,244.70/x
  3. Step 3: Cross multiply
    3,841.76x = 5,764.01 × 1,244.70
  4. Step 4: Simplify right side
    3,841.76x = 7,174,457.02
  5. Step 5: Solve for x
    x = 7,174,457.02/3,841.76
  6. Step 6: Final answer
    x = 1,867.49

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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.