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Finding the Fourth Proportional to 2,767.40, 4,154.10 and 2,461.22

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Solution

The fourth proportional to 2,767.40, 4,154.10 and 2,461.22 is: 3,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.40 : 4,154.10 = 2,461.22 : x
  2. Step 2: Convert to fraction form
    2,767.40/4,154.10 = 2,461.22/x
  3. Step 3: Cross multiply
    2,767.40x = 4,154.10 × 2,461.22
  4. Step 4: Simplify right side
    2,767.40x = 10,224,154.00
  5. Step 5: Solve for x
    x = 10,224,154.00/2,767.40
  6. Step 6: Final answer
    x = 3,694.50

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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.