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Finding the Fourth Proportional to 1,913.51, 2,868.43 and 614.09

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Solution

The fourth proportional to 1,913.51, 2,868.43 and 614.09 is: 920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.51 : 2,868.43 = 614.09 : x
  2. Step 2: Convert to fraction form
    1,913.51/2,868.43 = 614.09/x
  3. Step 3: Cross multiply
    1,913.51x = 2,868.43 × 614.09
  4. Step 4: Simplify right side
    1,913.51x = 1,761,474.18
  5. Step 5: Solve for x
    x = 1,761,474.18/1,913.51
  6. Step 6: Final answer
    x = 920.55

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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.