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Finding the Fourth Proportional to 1,650.63, 2,463.40 and 1,583.64

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Solution

The fourth proportional to 1,650.63, 2,463.40 and 1,583.64 is: 2,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.63 : 2,463.40 = 1,583.64 : x
  2. Step 2: Convert to fraction form
    1,650.63/2,463.40 = 1,583.64/x
  3. Step 3: Cross multiply
    1,650.63x = 2,463.40 × 1,583.64
  4. Step 4: Simplify right side
    1,650.63x = 3,901,138.78
  5. Step 5: Solve for x
    x = 3,901,138.78/1,650.63
  6. Step 6: Final answer
    x = 2,363.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.