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Finding the Fourth Proportional to 2,427.84, 3,643.58 and 1,605.82

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Solution

The fourth proportional to 2,427.84, 3,643.58 and 1,605.82 is: 2,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.84 : 3,643.58 = 1,605.82 : x
  2. Step 2: Convert to fraction form
    2,427.84/3,643.58 = 1,605.82/x
  3. Step 3: Cross multiply
    2,427.84x = 3,643.58 × 1,605.82
  4. Step 4: Simplify right side
    2,427.84x = 5,850,933.64
  5. Step 5: Solve for x
    x = 5,850,933.64/2,427.84
  6. Step 6: Final answer
    x = 2,409.93

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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.