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Finding the Fourth Proportional to 2,277.98, 3,411.65 and 1,753.82

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Solution

The fourth proportional to 2,277.98, 3,411.65 and 1,753.82 is: 2,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.98 : 3,411.65 = 1,753.82 : x
  2. Step 2: Convert to fraction form
    2,277.98/3,411.65 = 1,753.82/x
  3. Step 3: Cross multiply
    2,277.98x = 3,411.65 × 1,753.82
  4. Step 4: Simplify right side
    2,277.98x = 5,983,415.74
  5. Step 5: Solve for x
    x = 5,983,415.74/2,277.98
  6. Step 6: Final answer
    x = 2,626.64

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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.