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Finding the Fourth Proportional to 2,048.98, 3,073.47 and 587.79

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Solution

The fourth proportional to 2,048.98, 3,073.47 and 587.79 is: 881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.98 : 3,073.47 = 587.79 : x
  2. Step 2: Convert to fraction form
    2,048.98/3,073.47 = 587.79/x
  3. Step 3: Cross multiply
    2,048.98x = 3,073.47 × 587.79
  4. Step 4: Simplify right side
    2,048.98x = 1,806,554.93
  5. Step 5: Solve for x
    x = 1,806,554.93/2,048.98
  6. Step 6: Final answer
    x = 881.69

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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.