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Finding the Fourth Proportional to 2,435.11, 3,649.83 and 974.68

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Solution

The fourth proportional to 2,435.11, 3,649.83 and 974.68 is: 1,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.11 : 3,649.83 = 974.68 : x
  2. Step 2: Convert to fraction form
    2,435.11/3,649.83 = 974.68/x
  3. Step 3: Cross multiply
    2,435.11x = 3,649.83 × 974.68
  4. Step 4: Simplify right side
    2,435.11x = 3,557,416.30
  5. Step 5: Solve for x
    x = 3,557,416.30/2,435.11
  6. Step 6: Final answer
    x = 1,460.89

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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.