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Finding the Fourth Proportional to 3,129.16, 4,687.32 and 1,564.48

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Solution

The fourth proportional to 3,129.16, 4,687.32 and 1,564.48 is: 2,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.16 : 4,687.32 = 1,564.48 : x
  2. Step 2: Convert to fraction form
    3,129.16/4,687.32 = 1,564.48/x
  3. Step 3: Cross multiply
    3,129.16x = 4,687.32 × 1,564.48
  4. Step 4: Simplify right side
    3,129.16x = 7,333,218.39
  5. Step 5: Solve for x
    x = 7,333,218.39/3,129.16
  6. Step 6: Final answer
    x = 2,343.51

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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.