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Finding the Fourth Proportional to 2,758.52, 4,137.70 and 678.51

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Solution

The fourth proportional to 2,758.52, 4,137.70 and 678.51 is: 1,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.52 : 4,137.70 = 678.51 : x
  2. Step 2: Convert to fraction form
    2,758.52/4,137.70 = 678.51/x
  3. Step 3: Cross multiply
    2,758.52x = 4,137.70 × 678.51
  4. Step 4: Simplify right side
    2,758.52x = 2,807,470.83
  5. Step 5: Solve for x
    x = 2,807,470.83/2,758.52
  6. Step 6: Final answer
    x = 1,017.75

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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.