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Finding the Fourth Proportional to 2,274.55, 3,411.94 and 631.06

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Solution

The fourth proportional to 2,274.55, 3,411.94 and 631.06 is: 946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.55 : 3,411.94 = 631.06 : x
  2. Step 2: Convert to fraction form
    2,274.55/3,411.94 = 631.06/x
  3. Step 3: Cross multiply
    2,274.55x = 3,411.94 × 631.06
  4. Step 4: Simplify right side
    2,274.55x = 2,153,138.86
  5. Step 5: Solve for x
    x = 2,153,138.86/2,274.55
  6. Step 6: Final answer
    x = 946.62

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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.