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Finding the Fourth Proportional to 3,037.74, 4,556.73 and 846.66

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Solution

The fourth proportional to 3,037.74, 4,556.73 and 846.66 is: 1,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.74 : 4,556.73 = 846.66 : x
  2. Step 2: Convert to fraction form
    3,037.74/4,556.73 = 846.66/x
  3. Step 3: Cross multiply
    3,037.74x = 4,556.73 × 846.66
  4. Step 4: Simplify right side
    3,037.74x = 3,858,001.02
  5. Step 5: Solve for x
    x = 3,858,001.02/3,037.74
  6. Step 6: Final answer
    x = 1,270.02

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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.