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Finding the Fourth Proportional to 2,274.67, 3,411.60 and 631.36

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Solution

The fourth proportional to 2,274.67, 3,411.60 and 631.36 is: 946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.67 : 3,411.60 = 631.36 : x
  2. Step 2: Convert to fraction form
    2,274.67/3,411.60 = 631.36/x
  3. Step 3: Cross multiply
    2,274.67x = 3,411.60 × 631.36
  4. Step 4: Simplify right side
    2,274.67x = 2,153,947.78
  5. Step 5: Solve for x
    x = 2,153,947.78/2,274.67
  6. Step 6: Final answer
    x = 946.93

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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.