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Finding the Fourth Proportional to 1,771.64, 2,653.80 and 1,039.01

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Solution

The fourth proportional to 1,771.64, 2,653.80 and 1,039.01 is: 1,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.64 : 2,653.80 = 1,039.01 : x
  2. Step 2: Convert to fraction form
    1,771.64/2,653.80 = 1,039.01/x
  3. Step 3: Cross multiply
    1,771.64x = 2,653.80 × 1,039.01
  4. Step 4: Simplify right side
    1,771.64x = 2,757,324.74
  5. Step 5: Solve for x
    x = 2,757,324.74/1,771.64
  6. Step 6: Final answer
    x = 1,556.37

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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.