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Finding the Fourth Proportional to 1,913.50, 2,872.88 and 989.70

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Solution

The fourth proportional to 1,913.50, 2,872.88 and 989.70 is: 1,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.50 : 2,872.88 = 989.70 : x
  2. Step 2: Convert to fraction form
    1,913.50/2,872.88 = 989.70/x
  3. Step 3: Cross multiply
    1,913.50x = 2,872.88 × 989.70
  4. Step 4: Simplify right side
    1,913.50x = 2,843,289.34
  5. Step 5: Solve for x
    x = 2,843,289.34/1,913.50
  6. Step 6: Final answer
    x = 1,485.91

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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.