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Finding the Fourth Proportional to 1,799.85, 2,700.27 and 1,527.87

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Solution

The fourth proportional to 1,799.85, 2,700.27 and 1,527.87 is: 2,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.85 : 2,700.27 = 1,527.87 : x
  2. Step 2: Convert to fraction form
    1,799.85/2,700.27 = 1,527.87/x
  3. Step 3: Cross multiply
    1,799.85x = 2,700.27 × 1,527.87
  4. Step 4: Simplify right side
    1,799.85x = 4,125,661.52
  5. Step 5: Solve for x
    x = 4,125,661.52/1,799.85
  6. Step 6: Final answer
    x = 2,292.23

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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.