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Finding the Fourth Proportional to 1,911.13, 2,866.17 and 678.37

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Solution

The fourth proportional to 1,911.13, 2,866.17 and 678.37 is: 1,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.13 : 2,866.17 = 678.37 : x
  2. Step 2: Convert to fraction form
    1,911.13/2,866.17 = 678.37/x
  3. Step 3: Cross multiply
    1,911.13x = 2,866.17 × 678.37
  4. Step 4: Simplify right side
    1,911.13x = 1,944,323.74
  5. Step 5: Solve for x
    x = 1,944,323.74/1,911.13
  6. Step 6: Final answer
    x = 1,017.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.