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Finding the Fourth Proportional to 2,431.08, 3,646.62 and 891.72

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Solution

The fourth proportional to 2,431.08, 3,646.62 and 891.72 is: 1,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.08 : 3,646.62 = 891.72 : x
  2. Step 2: Convert to fraction form
    2,431.08/3,646.62 = 891.72/x
  3. Step 3: Cross multiply
    2,431.08x = 3,646.62 × 891.72
  4. Step 4: Simplify right side
    2,431.08x = 3,251,763.99
  5. Step 5: Solve for x
    x = 3,251,763.99/2,431.08
  6. Step 6: Final answer
    x = 1,337.58

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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.