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Finding the Fourth Proportional to 1,662.66, 2,494.22 and 786.06

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Solution

The fourth proportional to 1,662.66, 2,494.22 and 786.06 is: 1,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.66 : 2,494.22 = 786.06 : x
  2. Step 2: Convert to fraction form
    1,662.66/2,494.22 = 786.06/x
  3. Step 3: Cross multiply
    1,662.66x = 2,494.22 × 786.06
  4. Step 4: Simplify right side
    1,662.66x = 1,960,602.64
  5. Step 5: Solve for x
    x = 1,960,602.64/1,662.66
  6. Step 6: Final answer
    x = 1,179.20

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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.