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Finding the Fourth Proportional to 1,367.83, 1,887.72 and 1,118.45

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Solution

The fourth proportional to 1,367.83, 1,887.72 and 1,118.45 is: 1,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.83 : 1,887.72 = 1,118.45 : x
  2. Step 2: Convert to fraction form
    1,367.83/1,887.72 = 1,118.45/x
  3. Step 3: Cross multiply
    1,367.83x = 1,887.72 × 1,118.45
  4. Step 4: Simplify right side
    1,367.83x = 2,111,305.40
  5. Step 5: Solve for x
    x = 2,111,305.40/1,367.83
  6. Step 6: Final answer
    x = 1,543.55

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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.