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Finding the Fourth Proportional to 1,811.62, 2,498.97 and 1,112.50

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Solution

The fourth proportional to 1,811.62, 2,498.97 and 1,112.50 is: 1,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.62 : 2,498.97 = 1,112.50 : x
  2. Step 2: Convert to fraction form
    1,811.62/2,498.97 = 1,112.50/x
  3. Step 3: Cross multiply
    1,811.62x = 2,498.97 × 1,112.50
  4. Step 4: Simplify right side
    1,811.62x = 2,780,104.13
  5. Step 5: Solve for x
    x = 2,780,104.13/1,811.62
  6. Step 6: Final answer
    x = 1,534.60

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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.