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Finding the Fourth Proportional to 2,431.01, 3,649.25 and 971.19

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Solution

The fourth proportional to 2,431.01, 3,649.25 and 971.19 is: 1,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.01 : 3,649.25 = 971.19 : x
  2. Step 2: Convert to fraction form
    2,431.01/3,649.25 = 971.19/x
  3. Step 3: Cross multiply
    2,431.01x = 3,649.25 × 971.19
  4. Step 4: Simplify right side
    2,431.01x = 3,544,117.54
  5. Step 5: Solve for x
    x = 3,544,117.54/2,431.01
  6. Step 6: Final answer
    x = 1,457.88

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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.