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Finding the Fourth Proportional to 2,532.12, 3,798.24 and 1,071.01

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Solution

The fourth proportional to 2,532.12, 3,798.24 and 1,071.01 is: 1,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.12 : 3,798.24 = 1,071.01 : x
  2. Step 2: Convert to fraction form
    2,532.12/3,798.24 = 1,071.01/x
  3. Step 3: Cross multiply
    2,532.12x = 3,798.24 × 1,071.01
  4. Step 4: Simplify right side
    2,532.12x = 4,067,953.02
  5. Step 5: Solve for x
    x = 4,067,953.02/2,532.12
  6. Step 6: Final answer
    x = 1,606.54

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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.