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Finding the Fourth Proportional to 1,608.88, 2,219.74 and 900.62

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Solution

The fourth proportional to 1,608.88, 2,219.74 and 900.62 is: 1,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.88 : 2,219.74 = 900.62 : x
  2. Step 2: Convert to fraction form
    1,608.88/2,219.74 = 900.62/x
  3. Step 3: Cross multiply
    1,608.88x = 2,219.74 × 900.62
  4. Step 4: Simplify right side
    1,608.88x = 1,999,137.21
  5. Step 5: Solve for x
    x = 1,999,137.21/1,608.88
  6. Step 6: Final answer
    x = 1,242.57

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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.