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Finding the Fourth Proportional to 1,600.23, 2,411.23 and 1,332.32

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Solution

The fourth proportional to 1,600.23, 2,411.23 and 1,332.32 is: 2,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.23 : 2,411.23 = 1,332.32 : x
  2. Step 2: Convert to fraction form
    1,600.23/2,411.23 = 1,332.32/x
  3. Step 3: Cross multiply
    1,600.23x = 2,411.23 × 1,332.32
  4. Step 4: Simplify right side
    1,600.23x = 3,212,529.95
  5. Step 5: Solve for x
    x = 3,212,529.95/1,600.23
  6. Step 6: Final answer
    x = 2,007.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.