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Finding the Fourth Proportional to 2,342.25, 3,233.80 and 1,503.31

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Solution

The fourth proportional to 2,342.25, 3,233.80 and 1,503.31 is: 2,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.25 : 3,233.80 = 1,503.31 : x
  2. Step 2: Convert to fraction form
    2,342.25/3,233.80 = 1,503.31/x
  3. Step 3: Cross multiply
    2,342.25x = 3,233.80 × 1,503.31
  4. Step 4: Simplify right side
    2,342.25x = 4,861,403.88
  5. Step 5: Solve for x
    x = 4,861,403.88/2,342.25
  6. Step 6: Final answer
    x = 2,075.53

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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.