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Finding the Fourth Proportional to 3,491.76, 4,818.62 and 1,919.82

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Solution

The fourth proportional to 3,491.76, 4,818.62 and 1,919.82 is: 2,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.76 : 4,818.62 = 1,919.82 : x
  2. Step 2: Convert to fraction form
    3,491.76/4,818.62 = 1,919.82/x
  3. Step 3: Cross multiply
    3,491.76x = 4,818.62 × 1,919.82
  4. Step 4: Simplify right side
    3,491.76x = 9,250,883.05
  5. Step 5: Solve for x
    x = 9,250,883.05/3,491.76
  6. Step 6: Final answer
    x = 2,649.35

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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.