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Finding the Fourth Proportional to 2,318.58, 3,469.65 and 2,045.19

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Solution

The fourth proportional to 2,318.58, 3,469.65 and 2,045.19 is: 3,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.58 : 3,469.65 = 2,045.19 : x
  2. Step 2: Convert to fraction form
    2,318.58/3,469.65 = 2,045.19/x
  3. Step 3: Cross multiply
    2,318.58x = 3,469.65 × 2,045.19
  4. Step 4: Simplify right side
    2,318.58x = 7,096,093.48
  5. Step 5: Solve for x
    x = 7,096,093.48/2,318.58
  6. Step 6: Final answer
    x = 3,060.53

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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.