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Finding the Fourth Proportional to 3,285.50, 4,926.76 and 944.96

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Solution

The fourth proportional to 3,285.50, 4,926.76 and 944.96 is: 1,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.50 : 4,926.76 = 944.96 : x
  2. Step 2: Convert to fraction form
    3,285.50/4,926.76 = 944.96/x
  3. Step 3: Cross multiply
    3,285.50x = 4,926.76 × 944.96
  4. Step 4: Simplify right side
    3,285.50x = 4,655,591.13
  5. Step 5: Solve for x
    x = 4,655,591.13/3,285.50
  6. Step 6: Final answer
    x = 1,417.01

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Why These Related Problems?

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