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Finding the Fourth Proportional to 1,636.89, 2,454.91 and 596.71

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Solution

The fourth proportional to 1,636.89, 2,454.91 and 596.71 is: 894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.89 : 2,454.91 = 596.71 : x
  2. Step 2: Convert to fraction form
    1,636.89/2,454.91 = 596.71/x
  3. Step 3: Cross multiply
    1,636.89x = 2,454.91 × 596.71
  4. Step 4: Simplify right side
    1,636.89x = 1,464,869.35
  5. Step 5: Solve for x
    x = 1,464,869.35/1,636.89
  6. Step 6: Final answer
    x = 894.91

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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.