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Finding the Fourth Proportional to 1,864.99, 2,573.34 and 1,201.78

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Solution

The fourth proportional to 1,864.99, 2,573.34 and 1,201.78 is: 1,658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.99 : 2,573.34 = 1,201.78 : x
  2. Step 2: Convert to fraction form
    1,864.99/2,573.34 = 1,201.78/x
  3. Step 3: Cross multiply
    1,864.99x = 2,573.34 × 1,201.78
  4. Step 4: Simplify right side
    1,864.99x = 3,092,588.55
  5. Step 5: Solve for x
    x = 3,092,588.55/1,864.99
  6. Step 6: Final answer
    x = 1,658.23

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