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Finding the Fourth Proportional to 2,318.56, 3,477.12 and 856.96

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Solution

The fourth proportional to 2,318.56, 3,477.12 and 856.96 is: 1,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.56 : 3,477.12 = 856.96 : x
  2. Step 2: Convert to fraction form
    2,318.56/3,477.12 = 856.96/x
  3. Step 3: Cross multiply
    2,318.56x = 3,477.12 × 856.96
  4. Step 4: Simplify right side
    2,318.56x = 2,979,752.76
  5. Step 5: Solve for x
    x = 2,979,752.76/2,318.56
  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.