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Finding the Fourth Proportional to 2,045.67, 3,068.42 and 659.10

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Solution

The fourth proportional to 2,045.67, 3,068.42 and 659.10 is: 988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.67 : 3,068.42 = 659.10 : x
  2. Step 2: Convert to fraction form
    2,045.67/3,068.42 = 659.10/x
  3. Step 3: Cross multiply
    2,045.67x = 3,068.42 × 659.10
  4. Step 4: Simplify right side
    2,045.67x = 2,022,392.33
  5. Step 5: Solve for x
    x = 2,022,392.33/2,045.67
  6. Step 6: Final answer
    x = 988.62

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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.