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Finding the Fourth Proportional to 2,644.02, 3,966.63 and 1,410.78

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Solution

The fourth proportional to 2,644.02, 3,966.63 and 1,410.78 is: 2,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.02 : 3,966.63 = 1,410.78 : x
  2. Step 2: Convert to fraction form
    2,644.02/3,966.63 = 1,410.78/x
  3. Step 3: Cross multiply
    2,644.02x = 3,966.63 × 1,410.78
  4. Step 4: Simplify right side
    2,644.02x = 5,596,042.27
  5. Step 5: Solve for x
    x = 5,596,042.27/2,644.02
  6. Step 6: Final answer
    x = 2,116.49

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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.