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Finding the Fourth Proportional to 2,459.45, 3,689.55 and 815.63

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Solution

The fourth proportional to 2,459.45, 3,689.55 and 815.63 is: 1,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.45 : 3,689.55 = 815.63 : x
  2. Step 2: Convert to fraction form
    2,459.45/3,689.55 = 815.63/x
  3. Step 3: Cross multiply
    2,459.45x = 3,689.55 × 815.63
  4. Step 4: Simplify right side
    2,459.45x = 3,009,289.22
  5. Step 5: Solve for x
    x = 3,009,289.22/2,459.45
  6. Step 6: Final answer
    x = 1,223.56

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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.