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Finding the Fourth Proportional to 3,106.64, 4,661.52 and 1,463

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Solution

The fourth proportional to 3,106.64, 4,661.52 and 1,463 is: 2,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.64 : 4,661.52 = 1,463 : x
  2. Step 2: Convert to fraction form
    3,106.64/4,661.52 = 1,463/x
  3. Step 3: Cross multiply
    3,106.64x = 4,661.52 × 1,463
  4. Step 4: Simplify right side
    3,106.64x = 6,819,803.76
  5. Step 5: Solve for x
    x = 6,819,803.76/3,106.64
  6. Step 6: Final answer
    x = 2,195.23

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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.