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Finding the Fourth Proportional to 1,468.82, 2,188.29 and 1,399.16

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Solution

The fourth proportional to 1,468.82, 2,188.29 and 1,399.16 is: 2,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.82 : 2,188.29 = 1,399.16 : x
  2. Step 2: Convert to fraction form
    1,468.82/2,188.29 = 1,399.16/x
  3. Step 3: Cross multiply
    1,468.82x = 2,188.29 × 1,399.16
  4. Step 4: Simplify right side
    1,468.82x = 3,061,756.89
  5. Step 5: Solve for x
    x = 3,061,756.89/1,468.82
  6. Step 6: Final answer
    x = 2,084.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.