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Finding the Fourth Proportional to 2,684.58, 3,704.74 and 1,489.66

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Solution

The fourth proportional to 2,684.58, 3,704.74 and 1,489.66 is: 2,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.58 : 3,704.74 = 1,489.66 : x
  2. Step 2: Convert to fraction form
    2,684.58/3,704.74 = 1,489.66/x
  3. Step 3: Cross multiply
    2,684.58x = 3,704.74 × 1,489.66
  4. Step 4: Simplify right side
    2,684.58x = 5,518,802.99
  5. Step 5: Solve for x
    x = 5,518,802.99/2,684.58
  6. Step 6: Final answer
    x = 2,055.74

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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.