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Finding the Fourth Proportional to 1,433.77, 2,136.24 and 1,339.47

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Solution

The fourth proportional to 1,433.77, 2,136.24 and 1,339.47 is: 1,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.77 : 2,136.24 = 1,339.47 : x
  2. Step 2: Convert to fraction form
    1,433.77/2,136.24 = 1,339.47/x
  3. Step 3: Cross multiply
    1,433.77x = 2,136.24 × 1,339.47
  4. Step 4: Simplify right side
    1,433.77x = 2,861,429.39
  5. Step 5: Solve for x
    x = 2,861,429.39/1,433.77
  6. Step 6: Final answer
    x = 1,995.74

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Why These Related Problems?

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