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Finding the Fourth Proportional to 1,752.62, 2,627.54 and 1,203.16

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Solution

The fourth proportional to 1,752.62, 2,627.54 and 1,203.16 is: 1,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.62 : 2,627.54 = 1,203.16 : x
  2. Step 2: Convert to fraction form
    1,752.62/2,627.54 = 1,203.16/x
  3. Step 3: Cross multiply
    1,752.62x = 2,627.54 × 1,203.16
  4. Step 4: Simplify right side
    1,752.62x = 3,161,351.03
  5. Step 5: Solve for x
    x = 3,161,351.03/1,752.62
  6. Step 6: Final answer
    x = 1,803.79

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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.