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Finding the Fourth Proportional to 2,365.70, 3,549.87 and 1,132.97

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Solution

The fourth proportional to 2,365.70, 3,549.87 and 1,132.97 is: 1,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.70 : 3,549.87 = 1,132.97 : x
  2. Step 2: Convert to fraction form
    2,365.70/3,549.87 = 1,132.97/x
  3. Step 3: Cross multiply
    2,365.70x = 3,549.87 × 1,132.97
  4. Step 4: Simplify right side
    2,365.70x = 4,021,896.21
  5. Step 5: Solve for x
    x = 4,021,896.21/2,365.70
  6. Step 6: Final answer
    x = 1,700.09

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1.5x scale

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.