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Finding the Fourth Proportional to 2,191.93, 3,024.41 and 1,308.02

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Solution

The fourth proportional to 2,191.93, 3,024.41 and 1,308.02 is: 1,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.93 : 3,024.41 = 1,308.02 : x
  2. Step 2: Convert to fraction form
    2,191.93/3,024.41 = 1,308.02/x
  3. Step 3: Cross multiply
    2,191.93x = 3,024.41 × 1,308.02
  4. Step 4: Simplify right side
    2,191.93x = 3,955,967.11
  5. Step 5: Solve for x
    x = 3,955,967.11/2,191.93
  6. Step 6: Final answer
    x = 1,804.79

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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.