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Finding the Fourth Proportional to 1,604.76, 2,214.60 and 906.18

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Solution

The fourth proportional to 1,604.76, 2,214.60 and 906.18 is: 1,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.76 : 2,214.60 = 906.18 : x
  2. Step 2: Convert to fraction form
    1,604.76/2,214.60 = 906.18/x
  3. Step 3: Cross multiply
    1,604.76x = 2,214.60 × 906.18
  4. Step 4: Simplify right side
    1,604.76x = 2,006,826.23
  5. Step 5: Solve for x
    x = 2,006,826.23/1,604.76
  6. Step 6: Final answer
    x = 1,250.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.