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Finding the Fourth Proportional to 2,301, 3,173.16 and 1,546.48

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Solution

The fourth proportional to 2,301, 3,173.16 and 1,546.48 is: 2,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301 : 3,173.16 = 1,546.48 : x
  2. Step 2: Convert to fraction form
    2,301/3,173.16 = 1,546.48/x
  3. Step 3: Cross multiply
    2,301x = 3,173.16 × 1,546.48
  4. Step 4: Simplify right side
    2,301x = 4,907,228.48
  5. Step 5: Solve for x
    x = 4,907,228.48/2,301
  6. Step 6: Final answer
    x = 2,132.65

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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.