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Finding the Fourth Proportional to 1,632.59, 2,448.97 and 755.91

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Solution

The fourth proportional to 1,632.59, 2,448.97 and 755.91 is: 1,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.59 : 2,448.97 = 755.91 : x
  2. Step 2: Convert to fraction form
    1,632.59/2,448.97 = 755.91/x
  3. Step 3: Cross multiply
    1,632.59x = 2,448.97 × 755.91
  4. Step 4: Simplify right side
    1,632.59x = 1,851,199.02
  5. Step 5: Solve for x
    x = 1,851,199.02/1,632.59
  6. Step 6: Final answer
    x = 1,133.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.