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Finding the Fourth Proportional to 2,532.36, 3,798.02 and 971.84

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Solution

The fourth proportional to 2,532.36, 3,798.02 and 971.84 is: 1,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.36 : 3,798.02 = 971.84 : x
  2. Step 2: Convert to fraction form
    2,532.36/3,798.02 = 971.84/x
  3. Step 3: Cross multiply
    2,532.36x = 3,798.02 × 971.84
  4. Step 4: Simplify right side
    2,532.36x = 3,691,067.76
  5. Step 5: Solve for x
    x = 3,691,067.76/2,532.36
  6. Step 6: Final answer
    x = 1,457.56

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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.