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Finding the Fourth Proportional to 2,366, 3,265.50 and 1,527.74

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Solution

The fourth proportional to 2,366, 3,265.50 and 1,527.74 is: 2,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366 : 3,265.50 = 1,527.74 : x
  2. Step 2: Convert to fraction form
    2,366/3,265.50 = 1,527.74/x
  3. Step 3: Cross multiply
    2,366x = 3,265.50 × 1,527.74
  4. Step 4: Simplify right side
    2,366x = 4,988,834.97
  5. Step 5: Solve for x
    x = 4,988,834.97/2,366
  6. Step 6: Final answer
    x = 2,108.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.