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Finding the Fourth Proportional to 1,977.42, 2,730.11 and 1,269.57

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Solution

The fourth proportional to 1,977.42, 2,730.11 and 1,269.57 is: 1,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.42 : 2,730.11 = 1,269.57 : x
  2. Step 2: Convert to fraction form
    1,977.42/2,730.11 = 1,269.57/x
  3. Step 3: Cross multiply
    1,977.42x = 2,730.11 × 1,269.57
  4. Step 4: Simplify right side
    1,977.42x = 3,466,065.75
  5. Step 5: Solve for x
    x = 3,466,065.75/1,977.42
  6. Step 6: Final answer
    x = 1,752.82

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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.