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Finding the Fourth Proportional to 1,784, 2,462.12 and 1,037.80

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Solution

The fourth proportional to 1,784, 2,462.12 and 1,037.80 is: 1,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784 : 2,462.12 = 1,037.80 : x
  2. Step 2: Convert to fraction form
    1,784/2,462.12 = 1,037.80/x
  3. Step 3: Cross multiply
    1,784x = 2,462.12 × 1,037.80
  4. Step 4: Simplify right side
    1,784x = 2,555,188.14
  5. Step 5: Solve for x
    x = 2,555,188.14/1,784
  6. Step 6: Final answer
    x = 1,432.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.