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Finding the Fourth Proportional to 1,732.54, 2,390.70 and 1,033.78

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Solution

The fourth proportional to 1,732.54, 2,390.70 and 1,033.78 is: 1,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.54 : 2,390.70 = 1,033.78 : x
  2. Step 2: Convert to fraction form
    1,732.54/2,390.70 = 1,033.78/x
  3. Step 3: Cross multiply
    1,732.54x = 2,390.70 × 1,033.78
  4. Step 4: Simplify right side
    1,732.54x = 2,471,457.85
  5. Step 5: Solve for x
    x = 2,471,457.85/1,732.54
  6. Step 6: Final answer
    x = 1,426.49

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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.