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Finding the Fourth Proportional to 1,609.27, 2,220.74 and 946.11

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Solution

The fourth proportional to 1,609.27, 2,220.74 and 946.11 is: 1,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.27 : 2,220.74 = 946.11 : x
  2. Step 2: Convert to fraction form
    1,609.27/2,220.74 = 946.11/x
  3. Step 3: Cross multiply
    1,609.27x = 2,220.74 × 946.11
  4. Step 4: Simplify right side
    1,609.27x = 2,101,064.32
  5. Step 5: Solve for x
    x = 2,101,064.32/1,609.27
  6. Step 6: Final answer
    x = 1,305.60

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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.