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Finding the Fourth Proportional to 2,048.79, 3,073.64 and 587.83

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Solution

The fourth proportional to 2,048.79, 3,073.64 and 587.83 is: 881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.79 : 3,073.64 = 587.83 : x
  2. Step 2: Convert to fraction form
    2,048.79/3,073.64 = 587.83/x
  3. Step 3: Cross multiply
    2,048.79x = 3,073.64 × 587.83
  4. Step 4: Simplify right side
    2,048.79x = 1,806,777.80
  5. Step 5: Solve for x
    x = 1,806,777.80/2,048.79
  6. Step 6: Final answer
    x = 881.88

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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.