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Finding the Fourth Proportional to 1,600.76, 2,409.63 and 1,141.71

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Solution

The fourth proportional to 1,600.76, 2,409.63 and 1,141.71 is: 1,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.76 : 2,409.63 = 1,141.71 : x
  2. Step 2: Convert to fraction form
    1,600.76/2,409.63 = 1,141.71/x
  3. Step 3: Cross multiply
    1,600.76x = 2,409.63 × 1,141.71
  4. Step 4: Simplify right side
    1,600.76x = 2,751,098.67
  5. Step 5: Solve for x
    x = 2,751,098.67/1,600.76
  6. Step 6: Final answer
    x = 1,718.63

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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.