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Finding the Fourth Proportional to 2,086.19, 2,878.95 and 1,201.98

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Solution

The fourth proportional to 2,086.19, 2,878.95 and 1,201.98 is: 1,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.19 : 2,878.95 = 1,201.98 : x
  2. Step 2: Convert to fraction form
    2,086.19/2,878.95 = 1,201.98/x
  3. Step 3: Cross multiply
    2,086.19x = 2,878.95 × 1,201.98
  4. Step 4: Simplify right side
    2,086.19x = 3,460,440.32
  5. Step 5: Solve for x
    x = 3,460,440.32/2,086.19
  6. Step 6: Final answer
    x = 1,658.74

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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.