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Finding the Fourth Proportional to 2,204.98, 3,307.47 and 906.46

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Solution

The fourth proportional to 2,204.98, 3,307.47 and 906.46 is: 1,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.98 : 3,307.47 = 906.46 : x
  2. Step 2: Convert to fraction form
    2,204.98/3,307.47 = 906.46/x
  3. Step 3: Cross multiply
    2,204.98x = 3,307.47 × 906.46
  4. Step 4: Simplify right side
    2,204.98x = 2,998,089.26
  5. Step 5: Solve for x
    x = 2,998,089.26/2,204.98
  6. Step 6: Final answer
    x = 1,359.69

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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.