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Finding the Fourth Proportional to 3,484, 4,810.14 and 2,244.16

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Solution

The fourth proportional to 3,484, 4,810.14 and 2,244.16 is: 3,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484 : 4,810.14 = 2,244.16 : x
  2. Step 2: Convert to fraction form
    3,484/4,810.14 = 2,244.16/x
  3. Step 3: Cross multiply
    3,484x = 4,810.14 × 2,244.16
  4. Step 4: Simplify right side
    3,484x = 10,794,723.78
  5. Step 5: Solve for x
    x = 10,794,723.78/3,484
  6. Step 6: Final answer
    x = 3,098.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.