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Finding the Fourth Proportional to 2,330.63, 3,216.29 and 1,282.71

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Solution

The fourth proportional to 2,330.63, 3,216.29 and 1,282.71 is: 1,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.63 : 3,216.29 = 1,282.71 : x
  2. Step 2: Convert to fraction form
    2,330.63/3,216.29 = 1,282.71/x
  3. Step 3: Cross multiply
    2,330.63x = 3,216.29 × 1,282.71
  4. Step 4: Simplify right side
    2,330.63x = 4,125,560.93
  5. Step 5: Solve for x
    x = 4,125,560.93/2,330.63
  6. Step 6: Final answer
    x = 1,770.15

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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.