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Finding the Fourth Proportional to 1,367.09, 1,888.25 and 1,357.49

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Solution

The fourth proportional to 1,367.09, 1,888.25 and 1,357.49 is: 1,874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.09 : 1,888.25 = 1,357.49 : x
  2. Step 2: Convert to fraction form
    1,367.09/1,888.25 = 1,357.49/x
  3. Step 3: Cross multiply
    1,367.09x = 1,888.25 × 1,357.49
  4. Step 4: Simplify right side
    1,367.09x = 2,563,273.71
  5. Step 5: Solve for x
    x = 2,563,273.71/1,367.09
  6. Step 6: Final answer
    x = 1,874.99

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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.