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Finding the Fourth Proportional to 3,077, 4,617.32 and 1,229

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Solution

The fourth proportional to 3,077, 4,617.32 and 1,229 is: 1,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077 : 4,617.32 = 1,229 : x
  2. Step 2: Convert to fraction form
    3,077/4,617.32 = 1,229/x
  3. Step 3: Cross multiply
    3,077x = 4,617.32 × 1,229
  4. Step 4: Simplify right side
    3,077x = 5,674,686.28
  5. Step 5: Solve for x
    x = 5,674,686.28/3,077
  6. Step 6: Final answer
    x = 1,844.23

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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.