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Finding the Fourth Proportional to 2,316.97, 3,194.08 and 1,652.67

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Solution

The fourth proportional to 2,316.97, 3,194.08 and 1,652.67 is: 2,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.97 : 3,194.08 = 1,652.67 : x
  2. Step 2: Convert to fraction form
    2,316.97/3,194.08 = 1,652.67/x
  3. Step 3: Cross multiply
    2,316.97x = 3,194.08 × 1,652.67
  4. Step 4: Simplify right side
    2,316.97x = 5,278,760.19
  5. Step 5: Solve for x
    x = 5,278,760.19/2,316.97
  6. Step 6: Final answer
    x = 2,278.30

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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.