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Finding the Fourth Proportional to 3,094.64, 4,642 and 786.16

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Solution

The fourth proportional to 3,094.64, 4,642 and 786.16 is: 1,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.64 : 4,642 = 786.16 : x
  2. Step 2: Convert to fraction form
    3,094.64/4,642 = 786.16/x
  3. Step 3: Cross multiply
    3,094.64x = 4,642 × 786.16
  4. Step 4: Simplify right side
    3,094.64x = 3,649,354.72
  5. Step 5: Solve for x
    x = 3,649,354.72/3,094.64
  6. Step 6: Final answer
    x = 1,179.25

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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.