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Finding the Fourth Proportional to 2,029.77, 3,045.17 and 568.93

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Solution

The fourth proportional to 2,029.77, 3,045.17 and 568.93 is: 853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.77 : 3,045.17 = 568.93 : x
  2. Step 2: Convert to fraction form
    2,029.77/3,045.17 = 568.93/x
  3. Step 3: Cross multiply
    2,029.77x = 3,045.17 × 568.93
  4. Step 4: Simplify right side
    2,029.77x = 1,732,488.57
  5. Step 5: Solve for x
    x = 1,732,488.57/2,029.77
  6. Step 6: Final answer
    x = 853.54

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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.