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Finding the Fourth Proportional to 2,876.42, 4,307.00 and 2,318.15

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Solution

The fourth proportional to 2,876.42, 4,307.00 and 2,318.15 is: 3,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.42 : 4,307.00 = 2,318.15 : x
  2. Step 2: Convert to fraction form
    2,876.42/4,307.00 = 2,318.15/x
  3. Step 3: Cross multiply
    2,876.42x = 4,307.00 × 2,318.15
  4. Step 4: Simplify right side
    2,876.42x = 9,984,238.92
  5. Step 5: Solve for x
    x = 9,984,238.92/2,876.42
  6. Step 6: Final answer
    x = 3,471.07

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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.