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Finding the Fourth Proportional to 2,089.41, 2,884.24 and 1,533.85

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Solution

The fourth proportional to 2,089.41, 2,884.24 and 1,533.85 is: 2,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.41 : 2,884.24 = 1,533.85 : x
  2. Step 2: Convert to fraction form
    2,089.41/2,884.24 = 1,533.85/x
  3. Step 3: Cross multiply
    2,089.41x = 2,884.24 × 1,533.85
  4. Step 4: Simplify right side
    2,089.41x = 4,423,991.52
  5. Step 5: Solve for x
    x = 4,423,991.52/2,089.41
  6. Step 6: Final answer
    x = 2,117.34

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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.