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Finding the Fourth Proportional to 2,532.33, 3,494.03 and 1,484.01

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Solution

The fourth proportional to 2,532.33, 3,494.03 and 1,484.01 is: 2,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.33 : 3,494.03 = 1,484.01 : x
  2. Step 2: Convert to fraction form
    2,532.33/3,494.03 = 1,484.01/x
  3. Step 3: Cross multiply
    2,532.33x = 3,494.03 × 1,484.01
  4. Step 4: Simplify right side
    2,532.33x = 5,185,168.04
  5. Step 5: Solve for x
    x = 5,185,168.04/2,532.33
  6. Step 6: Final answer
    x = 2,047.59

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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.