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Finding the Fourth Proportional to 2,035.88, 3,055.26 and 1,169

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Solution

The fourth proportional to 2,035.88, 3,055.26 and 1,169 is: 1,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.88 : 3,055.26 = 1,169 : x
  2. Step 2: Convert to fraction form
    2,035.88/3,055.26 = 1,169/x
  3. Step 3: Cross multiply
    2,035.88x = 3,055.26 × 1,169
  4. Step 4: Simplify right side
    2,035.88x = 3,571,598.94
  5. Step 5: Solve for x
    x = 3,571,598.94/2,035.88
  6. Step 6: Final answer
    x = 1,754.33

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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.