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Finding the Fourth Proportional to 2,459.25, 3,688.83 and 997.40

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Solution

The fourth proportional to 2,459.25, 3,688.83 and 997.40 is: 1,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.25 : 3,688.83 = 997.40 : x
  2. Step 2: Convert to fraction form
    2,459.25/3,688.83 = 997.40/x
  3. Step 3: Cross multiply
    2,459.25x = 3,688.83 × 997.40
  4. Step 4: Simplify right side
    2,459.25x = 3,679,220.60
  5. Step 5: Solve for x
    x = 3,679,220.60/2,459.25
  6. Step 6: Final answer
    x = 1,496.07

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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.