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Finding the Fourth Proportional to 2,111.99, 2,915.78 and 1,449.81

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Solution

The fourth proportional to 2,111.99, 2,915.78 and 1,449.81 is: 2,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.99 : 2,915.78 = 1,449.81 : x
  2. Step 2: Convert to fraction form
    2,111.99/2,915.78 = 1,449.81/x
  3. Step 3: Cross multiply
    2,111.99x = 2,915.78 × 1,449.81
  4. Step 4: Simplify right side
    2,111.99x = 4,227,319.75
  5. Step 5: Solve for x
    x = 4,227,319.75/2,111.99
  6. Step 6: Final answer
    x = 2,001.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.