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Finding the Fourth Proportional to 2,092.87, 2,885.52 and 1,485.91

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Solution

The fourth proportional to 2,092.87, 2,885.52 and 1,485.91 is: 2,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.87 : 2,885.52 = 1,485.91 : x
  2. Step 2: Convert to fraction form
    2,092.87/2,885.52 = 1,485.91/x
  3. Step 3: Cross multiply
    2,092.87x = 2,885.52 × 1,485.91
  4. Step 4: Simplify right side
    2,092.87x = 4,287,623.02
  5. Step 5: Solve for x
    x = 4,287,623.02/2,092.87
  6. Step 6: Final answer
    x = 2,048.68

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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.