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Finding the Fourth Proportional to 1,911.24, 2,866.37 and 678.51

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Solution

The fourth proportional to 1,911.24, 2,866.37 and 678.51 is: 1,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.24 : 2,866.37 = 678.51 : x
  2. Step 2: Convert to fraction form
    1,911.24/2,866.37 = 678.51/x
  3. Step 3: Cross multiply
    1,911.24x = 2,866.37 × 678.51
  4. Step 4: Simplify right side
    1,911.24x = 1,944,857.32
  5. Step 5: Solve for x
    x = 1,944,857.32/1,911.24
  6. Step 6: Final answer
    x = 1,017.59

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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.