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Finding the Fourth Proportional to 1,864.47, 2,796.86 and 768.63

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Solution

The fourth proportional to 1,864.47, 2,796.86 and 768.63 is: 1,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.47 : 2,796.86 = 768.63 : x
  2. Step 2: Convert to fraction form
    1,864.47/2,796.86 = 768.63/x
  3. Step 3: Cross multiply
    1,864.47x = 2,796.86 × 768.63
  4. Step 4: Simplify right side
    1,864.47x = 2,149,750.50
  5. Step 5: Solve for x
    x = 2,149,750.50/1,864.47
  6. Step 6: Final answer
    x = 1,153.01

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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.