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Finding the Fourth Proportional to 2,086.32, 2,881.92 and 1,698.24

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Solution

The fourth proportional to 2,086.32, 2,881.92 and 1,698.24 is: 2,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.32 : 2,881.92 = 1,698.24 : x
  2. Step 2: Convert to fraction form
    2,086.32/2,881.92 = 1,698.24/x
  3. Step 3: Cross multiply
    2,086.32x = 2,881.92 × 1,698.24
  4. Step 4: Simplify right side
    2,086.32x = 4,894,191.82
  5. Step 5: Solve for x
    x = 4,894,191.82/2,086.32
  6. Step 6: Final answer
    x = 2,345.85

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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.