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Finding the Fourth Proportional to 1,777.26, 2,666.91 and 737.07

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Solution

The fourth proportional to 1,777.26, 2,666.91 and 737.07 is: 1,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.26 : 2,666.91 = 737.07 : x
  2. Step 2: Convert to fraction form
    1,777.26/2,666.91 = 737.07/x
  3. Step 3: Cross multiply
    1,777.26x = 2,666.91 × 737.07
  4. Step 4: Simplify right side
    1,777.26x = 1,965,699.35
  5. Step 5: Solve for x
    x = 1,965,699.35/1,777.26
  6. Step 6: Final answer
    x = 1,106.03

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