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Finding the Fourth Proportional to 1,830.78, 2,525.79 and 1,201.66

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Solution

The fourth proportional to 1,830.78, 2,525.79 and 1,201.66 is: 1,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.78 : 2,525.79 = 1,201.66 : x
  2. Step 2: Convert to fraction form
    1,830.78/2,525.79 = 1,201.66/x
  3. Step 3: Cross multiply
    1,830.78x = 2,525.79 × 1,201.66
  4. Step 4: Simplify right side
    1,830.78x = 3,035,139.00
  5. Step 5: Solve for x
    x = 3,035,139.00/1,830.78
  6. Step 6: Final answer
    x = 1,657.84

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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.