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Finding the Fourth Proportional to 2,188.09, 3,019.10 and 1,304.18

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Solution

The fourth proportional to 2,188.09, 3,019.10 and 1,304.18 is: 1,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.09 : 3,019.10 = 1,304.18 : x
  2. Step 2: Convert to fraction form
    2,188.09/3,019.10 = 1,304.18/x
  3. Step 3: Cross multiply
    2,188.09x = 3,019.10 × 1,304.18
  4. Step 4: Simplify right side
    2,188.09x = 3,937,449.84
  5. Step 5: Solve for x
    x = 3,937,449.84/2,188.09
  6. Step 6: Final answer
    x = 1,799.49

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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.