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Finding the Fourth Proportional to 1,865.77, 2,574.97 and 1,204.20

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Solution

The fourth proportional to 1,865.77, 2,574.97 and 1,204.20 is: 1,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.77 : 2,574.97 = 1,204.20 : x
  2. Step 2: Convert to fraction form
    1,865.77/2,574.97 = 1,204.20/x
  3. Step 3: Cross multiply
    1,865.77x = 2,574.97 × 1,204.20
  4. Step 4: Simplify right side
    1,865.77x = 3,100,775.86
  5. Step 5: Solve for x
    x = 3,100,775.86/1,865.77
  6. Step 6: Final answer
    x = 1,661.93

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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.