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Finding the Fourth Proportional to 1,755.72, 2,423.86 and 1,197.01

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Solution

The fourth proportional to 1,755.72, 2,423.86 and 1,197.01 is: 1,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.72 : 2,423.86 = 1,197.01 : x
  2. Step 2: Convert to fraction form
    1,755.72/2,423.86 = 1,197.01/x
  3. Step 3: Cross multiply
    1,755.72x = 2,423.86 × 1,197.01
  4. Step 4: Simplify right side
    1,755.72x = 2,901,377.79
  5. Step 5: Solve for x
    x = 2,901,377.79/1,755.72
  6. Step 6: Final answer
    x = 1,652.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.