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Finding the Fourth Proportional to 2,684.02, 3,704.03 and 1,505.11

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Solution

The fourth proportional to 2,684.02, 3,704.03 and 1,505.11 is: 2,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.02 : 3,704.03 = 1,505.11 : x
  2. Step 2: Convert to fraction form
    2,684.02/3,704.03 = 1,505.11/x
  3. Step 3: Cross multiply
    2,684.02x = 3,704.03 × 1,505.11
  4. Step 4: Simplify right side
    2,684.02x = 5,574,972.59
  5. Step 5: Solve for x
    x = 5,574,972.59/2,684.02
  6. Step 6: Final answer
    x = 2,077.10

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Why These Related Problems?

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