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Finding the Fourth Proportional to 2,459.19, 3,688.75 and 997.99

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Solution

The fourth proportional to 2,459.19, 3,688.75 and 997.99 is: 1,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.19 : 3,688.75 = 997.99 : x
  2. Step 2: Convert to fraction form
    2,459.19/3,688.75 = 997.99/x
  3. Step 3: Cross multiply
    2,459.19x = 3,688.75 × 997.99
  4. Step 4: Simplify right side
    2,459.19x = 3,681,335.61
  5. Step 5: Solve for x
    x = 3,681,335.61/2,459.19
  6. Step 6: Final answer
    x = 1,496.97

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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.