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Finding the Fourth Proportional to 2,086.94, 2,873.40 and 1,587.98

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Solution

The fourth proportional to 2,086.94, 2,873.40 and 1,587.98 is: 2,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.94 : 2,873.40 = 1,587.98 : x
  2. Step 2: Convert to fraction form
    2,086.94/2,873.40 = 1,587.98/x
  3. Step 3: Cross multiply
    2,086.94x = 2,873.40 × 1,587.98
  4. Step 4: Simplify right side
    2,086.94x = 4,562,901.73
  5. Step 5: Solve for x
    x = 4,562,901.73/2,086.94
  6. Step 6: Final answer
    x = 2,186.41

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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.