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Finding the Fourth Proportional to 1,605.08, 2,214.98 and 906.44

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Solution

The fourth proportional to 1,605.08, 2,214.98 and 906.44 is: 1,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.08 : 2,214.98 = 906.44 : x
  2. Step 2: Convert to fraction form
    1,605.08/2,214.98 = 906.44/x
  3. Step 3: Cross multiply
    1,605.08x = 2,214.98 × 906.44
  4. Step 4: Simplify right side
    1,605.08x = 2,007,746.47
  5. Step 5: Solve for x
    x = 2,007,746.47/1,605.08
  6. Step 6: Final answer
    x = 1,250.87

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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.