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Finding the Fourth Proportional to 1,665.96, 2,500.50 and 1,601.16

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Solution

The fourth proportional to 1,665.96, 2,500.50 and 1,601.16 is: 2,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.96 : 2,500.50 = 1,601.16 : x
  2. Step 2: Convert to fraction form
    1,665.96/2,500.50 = 1,601.16/x
  3. Step 3: Cross multiply
    1,665.96x = 2,500.50 × 1,601.16
  4. Step 4: Simplify right side
    1,665.96x = 4,003,700.58
  5. Step 5: Solve for x
    x = 4,003,700.58/1,665.96
  6. Step 6: Final answer
    x = 2,403.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.