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Finding the Fourth Proportional to 2,014.55, 2,780.76 and 1,269.75

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Solution

The fourth proportional to 2,014.55, 2,780.76 and 1,269.75 is: 1,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.55 : 2,780.76 = 1,269.75 : x
  2. Step 2: Convert to fraction form
    2,014.55/2,780.76 = 1,269.75/x
  3. Step 3: Cross multiply
    2,014.55x = 2,780.76 × 1,269.75
  4. Step 4: Simplify right side
    2,014.55x = 3,530,870.01
  5. Step 5: Solve for x
    x = 3,530,870.01/2,014.55
  6. Step 6: Final answer
    x = 1,752.68

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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.