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Finding the Fourth Proportional to 2,532.36, 3,817.74 and 2,374.01

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Solution

The fourth proportional to 2,532.36, 3,817.74 and 2,374.01 is: 3,579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.36 : 3,817.74 = 2,374.01 : x
  2. Step 2: Convert to fraction form
    2,532.36/3,817.74 = 2,374.01/x
  3. Step 3: Cross multiply
    2,532.36x = 3,817.74 × 2,374.01
  4. Step 4: Simplify right side
    2,532.36x = 9,063,333.85
  5. Step 5: Solve for x
    x = 9,063,333.85/2,532.36
  6. Step 6: Final answer
    x = 3,579.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.