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Finding the Fourth Proportional to 2,904.66, 4,348.89 and 1,806.30

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Solution

The fourth proportional to 2,904.66, 4,348.89 and 1,806.30 is: 2,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.66 : 4,348.89 = 1,806.30 : x
  2. Step 2: Convert to fraction form
    2,904.66/4,348.89 = 1,806.30/x
  3. Step 3: Cross multiply
    2,904.66x = 4,348.89 × 1,806.30
  4. Step 4: Simplify right side
    2,904.66x = 7,855,400.01
  5. Step 5: Solve for x
    x = 7,855,400.01/2,904.66
  6. Step 6: Final answer
    x = 2,704.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.