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Finding the Fourth Proportional to 1,729.14, 2,384.93 and 1,099.13

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Solution

The fourth proportional to 1,729.14, 2,384.93 and 1,099.13 is: 1,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.14 : 2,384.93 = 1,099.13 : x
  2. Step 2: Convert to fraction form
    1,729.14/2,384.93 = 1,099.13/x
  3. Step 3: Cross multiply
    1,729.14x = 2,384.93 × 1,099.13
  4. Step 4: Simplify right side
    1,729.14x = 2,621,330.69
  5. Step 5: Solve for x
    x = 2,621,330.69/1,729.14
  6. Step 6: Final answer
    x = 1,515.97

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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.