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Finding the Fourth Proportional to 3,149, 4,725.66 and 1,097

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Solution

The fourth proportional to 3,149, 4,725.66 and 1,097 is: 1,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149 : 4,725.66 = 1,097 : x
  2. Step 2: Convert to fraction form
    3,149/4,725.66 = 1,097/x
  3. Step 3: Cross multiply
    3,149x = 4,725.66 × 1,097
  4. Step 4: Simplify right side
    3,149x = 5,184,049.02
  5. Step 5: Solve for x
    x = 5,184,049.02/3,149
  6. Step 6: Final answer
    x = 1,646.25

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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.