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Finding the Fourth Proportional to 1,325.26, 1,984.11 and 1,051.75

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Solution

The fourth proportional to 1,325.26, 1,984.11 and 1,051.75 is: 1,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.26 : 1,984.11 = 1,051.75 : x
  2. Step 2: Convert to fraction form
    1,325.26/1,984.11 = 1,051.75/x
  3. Step 3: Cross multiply
    1,325.26x = 1,984.11 × 1,051.75
  4. Step 4: Simplify right side
    1,325.26x = 2,086,787.69
  5. Step 5: Solve for x
    x = 2,086,787.69/1,325.26
  6. Step 6: Final answer
    x = 1,574.63

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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.