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Finding the Fourth Proportional to 1,811.68, 2,499.88 and 1,147.36

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Solution

The fourth proportional to 1,811.68, 2,499.88 and 1,147.36 is: 1,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.68 : 2,499.88 = 1,147.36 : x
  2. Step 2: Convert to fraction form
    1,811.68/2,499.88 = 1,147.36/x
  3. Step 3: Cross multiply
    1,811.68x = 2,499.88 × 1,147.36
  4. Step 4: Simplify right side
    1,811.68x = 2,868,262.32
  5. Step 5: Solve for x
    x = 2,868,262.32/1,811.68
  6. Step 6: Final answer
    x = 1,583.21

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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.