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Finding the Fourth Proportional to 2,029.78, 3,045.18 and 568.94

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Solution

The fourth proportional to 2,029.78, 3,045.18 and 568.94 is: 853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.78 : 3,045.18 = 568.94 : x
  2. Step 2: Convert to fraction form
    2,029.78/3,045.18 = 568.94/x
  3. Step 3: Cross multiply
    2,029.78x = 3,045.18 × 568.94
  4. Step 4: Simplify right side
    2,029.78x = 1,732,524.71
  5. Step 5: Solve for x
    x = 1,732,524.71/2,029.78
  6. Step 6: Final answer
    x = 853.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.