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Finding the Fourth Proportional to 2,776.70, 4,164.60 and 927.74

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Solution

The fourth proportional to 2,776.70, 4,164.60 and 927.74 is: 1,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.70 : 4,164.60 = 927.74 : x
  2. Step 2: Convert to fraction form
    2,776.70/4,164.60 = 927.74/x
  3. Step 3: Cross multiply
    2,776.70x = 4,164.60 × 927.74
  4. Step 4: Simplify right side
    2,776.70x = 3,863,666.00
  5. Step 5: Solve for x
    x = 3,863,666.00/2,776.70
  6. Step 6: Final answer
    x = 1,391.46

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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.