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Finding the Fourth Proportional to 1,604.56, 2,214.24 and 906.16

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Solution

The fourth proportional to 1,604.56, 2,214.24 and 906.16 is: 1,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.56 : 2,214.24 = 906.16 : x
  2. Step 2: Convert to fraction form
    1,604.56/2,214.24 = 906.16/x
  3. Step 3: Cross multiply
    1,604.56x = 2,214.24 × 906.16
  4. Step 4: Simplify right side
    1,604.56x = 2,006,455.72
  5. Step 5: Solve for x
    x = 2,006,455.72/1,604.56
  6. Step 6: Final answer
    x = 1,250.47

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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.