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Finding the Fourth Proportional to 3,210.70, 4,816.50 and 989.71

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Solution

The fourth proportional to 3,210.70, 4,816.50 and 989.71 is: 1,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.70 : 4,816.50 = 989.71 : x
  2. Step 2: Convert to fraction form
    3,210.70/4,816.50 = 989.71/x
  3. Step 3: Cross multiply
    3,210.70x = 4,816.50 × 989.71
  4. Step 4: Simplify right side
    3,210.70x = 4,766,938.22
  5. Step 5: Solve for x
    x = 4,766,938.22/3,210.70
  6. Step 6: Final answer
    x = 1,484.70

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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.