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Finding the Fourth Proportional to 1,899.56, 2,845.34 and 972.30

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Solution

The fourth proportional to 1,899.56, 2,845.34 and 972.30 is: 1,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.56 : 2,845.34 = 972.30 : x
  2. Step 2: Convert to fraction form
    1,899.56/2,845.34 = 972.30/x
  3. Step 3: Cross multiply
    1,899.56x = 2,845.34 × 972.30
  4. Step 4: Simplify right side
    1,899.56x = 2,766,524.08
  5. Step 5: Solve for x
    x = 2,766,524.08/1,899.56
  6. Step 6: Final answer
    x = 1,456.40

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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.