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Finding the Fourth Proportional to 2,846.55, 4,270.05 and 898.92

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Solution

The fourth proportional to 2,846.55, 4,270.05 and 898.92 is: 1,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.55 : 4,270.05 = 898.92 : x
  2. Step 2: Convert to fraction form
    2,846.55/4,270.05 = 898.92/x
  3. Step 3: Cross multiply
    2,846.55x = 4,270.05 × 898.92
  4. Step 4: Simplify right side
    2,846.55x = 3,838,433.35
  5. Step 5: Solve for x
    x = 3,838,433.35/2,846.55
  6. Step 6: Final answer
    x = 1,348.45

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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.