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Finding the Fourth Proportional to 2,459.49, 3,684.03 and 1,988.94

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Solution

The fourth proportional to 2,459.49, 3,684.03 and 1,988.94 is: 2,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.49 : 3,684.03 = 1,988.94 : x
  2. Step 2: Convert to fraction form
    2,459.49/3,684.03 = 1,988.94/x
  3. Step 3: Cross multiply
    2,459.49x = 3,684.03 × 1,988.94
  4. Step 4: Simplify right side
    2,459.49x = 7,327,326.99
  5. Step 5: Solve for x
    x = 7,327,326.99/2,459.49
  6. Step 6: Final answer
    x = 2,979.21

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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.