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Finding the Fourth Proportional to 1,367.57, 1,887.36 and 1,118.19

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Solution

The fourth proportional to 1,367.57, 1,887.36 and 1,118.19 is: 1,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.57 : 1,887.36 = 1,118.19 : x
  2. Step 2: Convert to fraction form
    1,367.57/1,887.36 = 1,118.19/x
  3. Step 3: Cross multiply
    1,367.57x = 1,887.36 × 1,118.19
  4. Step 4: Simplify right side
    1,367.57x = 2,110,427.08
  5. Step 5: Solve for x
    x = 2,110,427.08/1,367.57
  6. Step 6: Final answer
    x = 1,543.19

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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.