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Finding the Fourth Proportional to 1,431.70, 2,136.13 and 1,223.98

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Solution

The fourth proportional to 1,431.70, 2,136.13 and 1,223.98 is: 1,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.70 : 2,136.13 = 1,223.98 : x
  2. Step 2: Convert to fraction form
    1,431.70/2,136.13 = 1,223.98/x
  3. Step 3: Cross multiply
    1,431.70x = 2,136.13 × 1,223.98
  4. Step 4: Simplify right side
    1,431.70x = 2,614,580.40
  5. Step 5: Solve for x
    x = 2,614,580.40/1,431.70
  6. Step 6: Final answer
    x = 1,826.21

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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.