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Finding the Fourth Proportional to 1,943.64, 2,914.58 and 627.17

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Solution

The fourth proportional to 1,943.64, 2,914.58 and 627.17 is: 940.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.64 : 2,914.58 = 627.17 : x
  2. Step 2: Convert to fraction form
    1,943.64/2,914.58 = 627.17/x
  3. Step 3: Cross multiply
    1,943.64x = 2,914.58 × 627.17
  4. Step 4: Simplify right side
    1,943.64x = 1,827,919.43
  5. Step 5: Solve for x
    x = 1,827,919.43/1,943.64
  6. Step 6: Final answer
    x = 940.46

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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.