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Finding the Fourth Proportional to 1,876.45, 2,814.65 and 627.14

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Solution

The fourth proportional to 1,876.45, 2,814.65 and 627.14 is: 940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.45 : 2,814.65 = 627.14 : x
  2. Step 2: Convert to fraction form
    1,876.45/2,814.65 = 627.14/x
  3. Step 3: Cross multiply
    1,876.45x = 2,814.65 × 627.14
  4. Step 4: Simplify right side
    1,876.45x = 1,765,179.60
  5. Step 5: Solve for x
    x = 1,765,179.60/1,876.45
  6. Step 6: Final answer
    x = 940.70

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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.