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Finding the Fourth Proportional to 1,807.74, 2,709.39 and 1,441.02

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Solution

The fourth proportional to 1,807.74, 2,709.39 and 1,441.02 is: 2,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.74 : 2,709.39 = 1,441.02 : x
  2. Step 2: Convert to fraction form
    1,807.74/2,709.39 = 1,441.02/x
  3. Step 3: Cross multiply
    1,807.74x = 2,709.39 × 1,441.02
  4. Step 4: Simplify right side
    1,807.74x = 3,904,285.18
  5. Step 5: Solve for x
    x = 3,904,285.18/1,807.74
  6. Step 6: Final answer
    x = 2,159.76

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Why These Related Problems?

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