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Finding the Fourth Proportional to 2,045.73, 3,068.90 and 658.61

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Solution

The fourth proportional to 2,045.73, 3,068.90 and 658.61 is: 988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.73 : 3,068.90 = 658.61 : x
  2. Step 2: Convert to fraction form
    2,045.73/3,068.90 = 658.61/x
  3. Step 3: Cross multiply
    2,045.73x = 3,068.90 × 658.61
  4. Step 4: Simplify right side
    2,045.73x = 2,021,208.23
  5. Step 5: Solve for x
    x = 2,021,208.23/2,045.73
  6. Step 6: Final answer
    x = 988.01

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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.