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Finding the Fourth Proportional to 1,732.47, 2,392.80 and 1,262.48

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Solution

The fourth proportional to 1,732.47, 2,392.80 and 1,262.48 is: 1,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.47 : 2,392.80 = 1,262.48 : x
  2. Step 2: Convert to fraction form
    1,732.47/2,392.80 = 1,262.48/x
  3. Step 3: Cross multiply
    1,732.47x = 2,392.80 × 1,262.48
  4. Step 4: Simplify right side
    1,732.47x = 3,020,850.18
  5. Step 5: Solve for x
    x = 3,020,850.18/1,732.47
  6. Step 6: Final answer
    x = 1,743.67

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1.5x scale

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.