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Finding the Fourth Proportional to 1,674, 2,310.07 and 927.93

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Solution

The fourth proportional to 1,674, 2,310.07 and 927.93 is: 1,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674 : 2,310.07 = 927.93 : x
  2. Step 2: Convert to fraction form
    1,674/2,310.07 = 927.93/x
  3. Step 3: Cross multiply
    1,674x = 2,310.07 × 927.93
  4. Step 4: Simplify right side
    1,674x = 2,143,583.26
  5. Step 5: Solve for x
    x = 2,143,583.26/1,674
  6. Step 6: Final answer
    x = 1,280.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.