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Finding the Fourth Proportional to 4,297, 6,445.49 and 1,177.03

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Solution

The fourth proportional to 4,297, 6,445.49 and 1,177.03 is: 1,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297 : 6,445.49 = 1,177.03 : x
  2. Step 2: Convert to fraction form
    4,297/6,445.49 = 1,177.03/x
  3. Step 3: Cross multiply
    4,297x = 6,445.49 × 1,177.03
  4. Step 4: Simplify right side
    4,297x = 7,586,535.09
  5. Step 5: Solve for x
    x = 7,586,535.09/4,297
  6. Step 6: Final answer
    x = 1,765.54

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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.