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Finding the Fourth Proportional to 2,344.90, 3,233.64 and 1,505.47

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Solution

The fourth proportional to 2,344.90, 3,233.64 and 1,505.47 is: 2,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.90 : 3,233.64 = 1,505.47 : x
  2. Step 2: Convert to fraction form
    2,344.90/3,233.64 = 1,505.47/x
  3. Step 3: Cross multiply
    2,344.90x = 3,233.64 × 1,505.47
  4. Step 4: Simplify right side
    2,344.90x = 4,868,148.01
  5. Step 5: Solve for x
    x = 4,868,148.01/2,344.90
  6. Step 6: Final answer
    x = 2,076.06

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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.