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Finding the Fourth Proportional to 2,316.40, 3,474.14 and 1,083.48

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Solution

The fourth proportional to 2,316.40, 3,474.14 and 1,083.48 is: 1,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.40 : 3,474.14 = 1,083.48 : x
  2. Step 2: Convert to fraction form
    2,316.40/3,474.14 = 1,083.48/x
  3. Step 3: Cross multiply
    2,316.40x = 3,474.14 × 1,083.48
  4. Step 4: Simplify right side
    2,316.40x = 3,764,148.86
  5. Step 5: Solve for x
    x = 3,764,148.86/2,316.40
  6. Step 6: Final answer
    x = 1,625.00

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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.