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Finding the Fourth Proportional to 2,647.42, 3,653.13 and 1,468.42

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Solution

The fourth proportional to 2,647.42, 3,653.13 and 1,468.42 is: 2,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.42 : 3,653.13 = 1,468.42 : x
  2. Step 2: Convert to fraction form
    2,647.42/3,653.13 = 1,468.42/x
  3. Step 3: Cross multiply
    2,647.42x = 3,653.13 × 1,468.42
  4. Step 4: Simplify right side
    2,647.42x = 5,364,329.15
  5. Step 5: Solve for x
    x = 5,364,329.15/2,647.42
  6. Step 6: Final answer
    x = 2,026.25

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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.