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Finding the Fourth Proportional to 2,064.47, 3,096.75 and 525.47

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Solution

The fourth proportional to 2,064.47, 3,096.75 and 525.47 is: 788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.47 : 3,096.75 = 525.47 : x
  2. Step 2: Convert to fraction form
    2,064.47/3,096.75 = 525.47/x
  3. Step 3: Cross multiply
    2,064.47x = 3,096.75 × 525.47
  4. Step 4: Simplify right side
    2,064.47x = 1,627,249.22
  5. Step 5: Solve for x
    x = 1,627,249.22/2,064.47
  6. Step 6: Final answer
    x = 788.22

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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.