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Finding the Fourth Proportional to 1,399.17, 2,099.21 and 913.17

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Solution

The fourth proportional to 1,399.17, 2,099.21 and 913.17 is: 1,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.17 : 2,099.21 = 913.17 : x
  2. Step 2: Convert to fraction form
    1,399.17/2,099.21 = 913.17/x
  3. Step 3: Cross multiply
    1,399.17x = 2,099.21 × 913.17
  4. Step 4: Simplify right side
    1,399.17x = 1,916,931.03
  5. Step 5: Solve for x
    x = 1,916,931.03/1,399.17
  6. Step 6: Final answer
    x = 1,370.05

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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.