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Finding the Fourth Proportional to 2,089.10, 3,134.30 and 856.61

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Solution

The fourth proportional to 2,089.10, 3,134.30 and 856.61 is: 1,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.10 : 3,134.30 = 856.61 : x
  2. Step 2: Convert to fraction form
    2,089.10/3,134.30 = 856.61/x
  3. Step 3: Cross multiply
    2,089.10x = 3,134.30 × 856.61
  4. Step 4: Simplify right side
    2,089.10x = 2,684,852.77
  5. Step 5: Solve for x
    x = 2,684,852.77/2,089.10
  6. Step 6: Final answer
    x = 1,285.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.