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Finding the Fourth Proportional to 2,034.50, 2,807.62 and 1,103

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Solution

The fourth proportional to 2,034.50, 2,807.62 and 1,103 is: 1,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.50 : 2,807.62 = 1,103 : x
  2. Step 2: Convert to fraction form
    2,034.50/2,807.62 = 1,103/x
  3. Step 3: Cross multiply
    2,034.50x = 2,807.62 × 1,103
  4. Step 4: Simplify right side
    2,034.50x = 3,096,804.86
  5. Step 5: Solve for x
    x = 3,096,804.86/2,034.50
  6. Step 6: Final answer
    x = 1,522.15

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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.