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Finding the Fourth Proportional to 2,870.92, 4,307.06 and 896.46

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Solution

The fourth proportional to 2,870.92, 4,307.06 and 896.46 is: 1,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.92 : 4,307.06 = 896.46 : x
  2. Step 2: Convert to fraction form
    2,870.92/4,307.06 = 896.46/x
  3. Step 3: Cross multiply
    2,870.92x = 4,307.06 × 896.46
  4. Step 4: Simplify right side
    2,870.92x = 3,861,107.01
  5. Step 5: Solve for x
    x = 3,861,107.01/2,870.92
  6. Step 6: Final answer
    x = 1,344.90

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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.