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Finding the Fourth Proportional to 2,684.76, 3,704.94 and 1,505.94

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Solution

The fourth proportional to 2,684.76, 3,704.94 and 1,505.94 is: 2,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.76 : 3,704.94 = 1,505.94 : x
  2. Step 2: Convert to fraction form
    2,684.76/3,704.94 = 1,505.94/x
  3. Step 3: Cross multiply
    2,684.76x = 3,704.94 × 1,505.94
  4. Step 4: Simplify right side
    2,684.76x = 5,579,417.34
  5. Step 5: Solve for x
    x = 5,579,417.34/2,684.76
  6. Step 6: Final answer
    x = 2,078.18

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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.