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Finding the Fourth Proportional to 4,298.94, 6,449.22 and 1,377

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Solution

The fourth proportional to 4,298.94, 6,449.22 and 1,377 is: 2,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.94 : 6,449.22 = 1,377 : x
  2. Step 2: Convert to fraction form
    4,298.94/6,449.22 = 1,377/x
  3. Step 3: Cross multiply
    4,298.94x = 6,449.22 × 1,377
  4. Step 4: Simplify right side
    4,298.94x = 8,880,575.94
  5. Step 5: Solve for x
    x = 8,880,575.94/4,298.94
  6. Step 6: Final answer
    x = 2,065.76

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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.