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Finding the Fourth Proportional to 2,340.81, 3,230.10 and 1,292.87

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Solution

The fourth proportional to 2,340.81, 3,230.10 and 1,292.87 is: 1,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.81 : 3,230.10 = 1,292.87 : x
  2. Step 2: Convert to fraction form
    2,340.81/3,230.10 = 1,292.87/x
  3. Step 3: Cross multiply
    2,340.81x = 3,230.10 × 1,292.87
  4. Step 4: Simplify right side
    2,340.81x = 4,176,083.24
  5. Step 5: Solve for x
    x = 4,176,083.24/2,340.81
  6. Step 6: Final answer
    x = 1,784.03

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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.