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Finding the Fourth Proportional to 1,423.74, 2,136.42 and 1,137.00

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Solution

The fourth proportional to 1,423.74, 2,136.42 and 1,137.00 is: 1,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.74 : 2,136.42 = 1,137.00 : x
  2. Step 2: Convert to fraction form
    1,423.74/2,136.42 = 1,137.00/x
  3. Step 3: Cross multiply
    1,423.74x = 2,136.42 × 1,137.00
  4. Step 4: Simplify right side
    1,423.74x = 2,429,093.17
  5. Step 5: Solve for x
    x = 2,429,093.17/1,423.74
  6. Step 6: Final answer
    x = 1,706.14

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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.