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Finding the Fourth Proportional to 2,532.16, 3,801.12 and 1,699.84

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Solution

The fourth proportional to 2,532.16, 3,801.12 and 1,699.84 is: 2,551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.16 : 3,801.12 = 1,699.84 : x
  2. Step 2: Convert to fraction form
    2,532.16/3,801.12 = 1,699.84/x
  3. Step 3: Cross multiply
    2,532.16x = 3,801.12 × 1,699.84
  4. Step 4: Simplify right side
    2,532.16x = 6,461,295.82
  5. Step 5: Solve for x
    x = 6,461,295.82/2,532.16
  6. Step 6: Final answer
    x = 2,551.69

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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.