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Finding the Fourth Proportional to 2,014.05, 2,780.07 and 1,269.25

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Solution

The fourth proportional to 2,014.05, 2,780.07 and 1,269.25 is: 1,751.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.05 : 2,780.07 = 1,269.25 : x
  2. Step 2: Convert to fraction form
    2,014.05/2,780.07 = 1,269.25/x
  3. Step 3: Cross multiply
    2,014.05x = 2,780.07 × 1,269.25
  4. Step 4: Simplify right side
    2,014.05x = 3,528,603.85
  5. Step 5: Solve for x
    x = 3,528,603.85/2,014.05
  6. Step 6: Final answer
    x = 1,751.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.