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Finding the Fourth Proportional to 2,773.70, 4,160.56 and 1,384.96

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Solution

The fourth proportional to 2,773.70, 4,160.56 and 1,384.96 is: 2,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.70 : 4,160.56 = 1,384.96 : x
  2. Step 2: Convert to fraction form
    2,773.70/4,160.56 = 1,384.96/x
  3. Step 3: Cross multiply
    2,773.70x = 4,160.56 × 1,384.96
  4. Step 4: Simplify right side
    2,773.70x = 5,762,209.18
  5. Step 5: Solve for x
    x = 5,762,209.18/2,773.70
  6. Step 6: Final answer
    x = 2,077.44

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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.