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Finding the Fourth Proportional to 1,407.34, 2,099.06 and 1,223.27

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Solution

The fourth proportional to 1,407.34, 2,099.06 and 1,223.27 is: 1,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.34 : 2,099.06 = 1,223.27 : x
  2. Step 2: Convert to fraction form
    1,407.34/2,099.06 = 1,223.27/x
  3. Step 3: Cross multiply
    1,407.34x = 2,099.06 × 1,223.27
  4. Step 4: Simplify right side
    1,407.34x = 2,567,709.53
  5. Step 5: Solve for x
    x = 2,567,709.53/1,407.34
  6. Step 6: Final answer
    x = 1,824.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.