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Finding the Fourth Proportional to 3,089.26, 4,634.35 and 897.71

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Solution

The fourth proportional to 3,089.26, 4,634.35 and 897.71 is: 1,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.26 : 4,634.35 = 897.71 : x
  2. Step 2: Convert to fraction form
    3,089.26/4,634.35 = 897.71/x
  3. Step 3: Cross multiply
    3,089.26x = 4,634.35 × 897.71
  4. Step 4: Simplify right side
    3,089.26x = 4,160,274.68
  5. Step 5: Solve for x
    x = 4,160,274.68/3,089.26
  6. Step 6: Final answer
    x = 1,346.69

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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.