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Finding the Fourth Proportional to 1,674.16, 2,504.89 and 1,013.61

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Solution

The fourth proportional to 1,674.16, 2,504.89 and 1,013.61 is: 1,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.16 : 2,504.89 = 1,013.61 : x
  2. Step 2: Convert to fraction form
    1,674.16/2,504.89 = 1,013.61/x
  3. Step 3: Cross multiply
    1,674.16x = 2,504.89 × 1,013.61
  4. Step 4: Simplify right side
    1,674.16x = 2,538,981.55
  5. Step 5: Solve for x
    x = 2,538,981.55/1,674.16
  6. Step 6: Final answer
    x = 1,516.57

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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.