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Finding the Fourth Proportional to 2,566, 3,846.30 and 1,833.40

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Solution

The fourth proportional to 2,566, 3,846.30 and 1,833.40 is: 2,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566 : 3,846.30 = 1,833.40 : x
  2. Step 2: Convert to fraction form
    2,566/3,846.30 = 1,833.40/x
  3. Step 3: Cross multiply
    2,566x = 3,846.30 × 1,833.40
  4. Step 4: Simplify right side
    2,566x = 7,051,806.42
  5. Step 5: Solve for x
    x = 7,051,806.42/2,566
  6. Step 6: Final answer
    x = 2,748.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.