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Finding the Fourth Proportional to 1,627.54, 2,246.01 and 881.50

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Solution

The fourth proportional to 1,627.54, 2,246.01 and 881.50 is: 1,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.54 : 2,246.01 = 881.50 : x
  2. Step 2: Convert to fraction form
    1,627.54/2,246.01 = 881.50/x
  3. Step 3: Cross multiply
    1,627.54x = 2,246.01 × 881.50
  4. Step 4: Simplify right side
    1,627.54x = 1,979,863.43
  5. Step 5: Solve for x
    x = 1,979,863.43/1,627.54
  6. Step 6: Final answer
    x = 1,216.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.