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Finding the Fourth Proportional to 2,758.74, 4,137.86 and 784.28

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Solution

The fourth proportional to 2,758.74, 4,137.86 and 784.28 is: 1,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.74 : 4,137.86 = 784.28 : x
  2. Step 2: Convert to fraction form
    2,758.74/4,137.86 = 784.28/x
  3. Step 3: Cross multiply
    2,758.74x = 4,137.86 × 784.28
  4. Step 4: Simplify right side
    2,758.74x = 3,245,240.84
  5. Step 5: Solve for x
    x = 3,245,240.84/2,758.74
  6. Step 6: Final answer
    x = 1,176.35

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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.