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Finding the Fourth Proportional to 1,423.85, 2,136.07 and 450.02

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Solution

The fourth proportional to 1,423.85, 2,136.07 and 450.02 is: 675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.85 : 2,136.07 = 450.02 : x
  2. Step 2: Convert to fraction form
    1,423.85/2,136.07 = 450.02/x
  3. Step 3: Cross multiply
    1,423.85x = 2,136.07 × 450.02
  4. Step 4: Simplify right side
    1,423.85x = 961,274.22
  5. Step 5: Solve for x
    x = 961,274.22/1,423.85
  6. Step 6: Final answer
    x = 675.13

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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.