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Finding the Fourth Proportional to 2,459.02, 3,688.16 and 815.62

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Solution

The fourth proportional to 2,459.02, 3,688.16 and 815.62 is: 1,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.02 : 3,688.16 = 815.62 : x
  2. Step 2: Convert to fraction form
    2,459.02/3,688.16 = 815.62/x
  3. Step 3: Cross multiply
    2,459.02x = 3,688.16 × 815.62
  4. Step 4: Simplify right side
    2,459.02x = 3,008,137.06
  5. Step 5: Solve for x
    x = 3,008,137.06/2,459.02
  6. Step 6: Final answer
    x = 1,223.31

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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.