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Finding the Fourth Proportional to 2,089.24, 3,133.24 and 1,308.40

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Solution

The fourth proportional to 2,089.24, 3,133.24 and 1,308.40 is: 1,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.24 : 3,133.24 = 1,308.40 : x
  2. Step 2: Convert to fraction form
    2,089.24/3,133.24 = 1,308.40/x
  3. Step 3: Cross multiply
    2,089.24x = 3,133.24 × 1,308.40
  4. Step 4: Simplify right side
    2,089.24x = 4,099,531.22
  5. Step 5: Solve for x
    x = 4,099,531.22/2,089.24
  6. Step 6: Final answer
    x = 1,962.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.