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Finding the Fourth Proportional to 3,277.98, 4,916.90 and 812.76

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Solution

The fourth proportional to 3,277.98, 4,916.90 and 812.76 is: 1,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.98 : 4,916.90 = 812.76 : x
  2. Step 2: Convert to fraction form
    3,277.98/4,916.90 = 812.76/x
  3. Step 3: Cross multiply
    3,277.98x = 4,916.90 × 812.76
  4. Step 4: Simplify right side
    3,277.98x = 3,996,255.58
  5. Step 5: Solve for x
    x = 3,996,255.58/3,277.98
  6. Step 6: Final answer
    x = 1,219.12

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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.