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Finding the Fourth Proportional to 1,868.39, 2,578.50 and 1,122.33

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Solution

The fourth proportional to 1,868.39, 2,578.50 and 1,122.33 is: 1,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.39 : 2,578.50 = 1,122.33 : x
  2. Step 2: Convert to fraction form
    1,868.39/2,578.50 = 1,122.33/x
  3. Step 3: Cross multiply
    1,868.39x = 2,578.50 × 1,122.33
  4. Step 4: Simplify right side
    1,868.39x = 2,893,927.91
  5. Step 5: Solve for x
    x = 2,893,927.91/1,868.39
  6. Step 6: Final answer
    x = 1,548.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.