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Finding the Fourth Proportional to 2,318.54, 3,477.89 and 674.95

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Solution

The fourth proportional to 2,318.54, 3,477.89 and 674.95 is: 1,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.54 : 3,477.89 = 674.95 : x
  2. Step 2: Convert to fraction form
    2,318.54/3,477.89 = 674.95/x
  3. Step 3: Cross multiply
    2,318.54x = 3,477.89 × 674.95
  4. Step 4: Simplify right side
    2,318.54x = 2,347,397.57
  5. Step 5: Solve for x
    x = 2,347,397.57/2,318.54
  6. Step 6: Final answer
    x = 1,012.45

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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.