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Finding the Fourth Proportional to 2,274.80, 3,411.60 and 714.80

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Solution

The fourth proportional to 2,274.80, 3,411.60 and 714.80 is: 1,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.80 : 3,411.60 = 714.80 : x
  2. Step 2: Convert to fraction form
    2,274.80/3,411.60 = 714.80/x
  3. Step 3: Cross multiply
    2,274.80x = 3,411.60 × 714.80
  4. Step 4: Simplify right side
    2,274.80x = 2,438,611.68
  5. Step 5: Solve for x
    x = 2,438,611.68/2,274.80
  6. Step 6: Final answer
    x = 1,072.01

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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.