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Finding the Fourth Proportional to 3,043.16, 4,564.74 and 991.16

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Solution

The fourth proportional to 3,043.16, 4,564.74 and 991.16 is: 1,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.16 : 4,564.74 = 991.16 : x
  2. Step 2: Convert to fraction form
    3,043.16/4,564.74 = 991.16/x
  3. Step 3: Cross multiply
    3,043.16x = 4,564.74 × 991.16
  4. Step 4: Simplify right side
    3,043.16x = 4,524,364.87
  5. Step 5: Solve for x
    x = 4,524,364.87/3,043.16
  6. Step 6: Final answer
    x = 1,486.73

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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.