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Finding the Fourth Proportional to 2,647.84, 3,653.70 and 1,468.96

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Solution

The fourth proportional to 2,647.84, 3,653.70 and 1,468.96 is: 2,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.84 : 3,653.70 = 1,468.96 : x
  2. Step 2: Convert to fraction form
    2,647.84/3,653.70 = 1,468.96/x
  3. Step 3: Cross multiply
    2,647.84x = 3,653.70 × 1,468.96
  4. Step 4: Simplify right side
    2,647.84x = 5,367,139.15
  5. Step 5: Solve for x
    x = 5,367,139.15/2,647.84
  6. Step 6: Final answer
    x = 2,026.99

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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.