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Finding the Fourth Proportional to 3,180.02, 4,769.60 and 988.76

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Solution

The fourth proportional to 3,180.02, 4,769.60 and 988.76 is: 1,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.02 : 4,769.60 = 988.76 : x
  2. Step 2: Convert to fraction form
    3,180.02/4,769.60 = 988.76/x
  3. Step 3: Cross multiply
    3,180.02x = 4,769.60 × 988.76
  4. Step 4: Simplify right side
    3,180.02x = 4,715,989.70
  5. Step 5: Solve for x
    x = 4,715,989.70/3,180.02
  6. Step 6: Final answer
    x = 1,483.01

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1.5x scale

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.