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Finding the Fourth Proportional to 2,330.96, 3,216.72 and 1,283.02

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Solution

The fourth proportional to 2,330.96, 3,216.72 and 1,283.02 is: 1,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.96 : 3,216.72 = 1,283.02 : x
  2. Step 2: Convert to fraction form
    2,330.96/3,216.72 = 1,283.02/x
  3. Step 3: Cross multiply
    2,330.96x = 3,216.72 × 1,283.02
  4. Step 4: Simplify right side
    2,330.96x = 4,127,103.24
  5. Step 5: Solve for x
    x = 4,127,103.24/2,330.96
  6. Step 6: Final answer
    x = 1,770.56

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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.