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Finding the Fourth Proportional to 1,540.40, 2,310.60 and 674.51

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Solution

The fourth proportional to 1,540.40, 2,310.60 and 674.51 is: 1,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.40 : 2,310.60 = 674.51 : x
  2. Step 2: Convert to fraction form
    1,540.40/2,310.60 = 674.51/x
  3. Step 3: Cross multiply
    1,540.40x = 2,310.60 × 674.51
  4. Step 4: Simplify right side
    1,540.40x = 1,558,522.81
  5. Step 5: Solve for x
    x = 1,558,522.81/1,540.40
  6. Step 6: Final answer
    x = 1,011.77

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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.