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Finding the Fourth Proportional to 1,606.92, 2,216.79 and 1,047.87

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Solution

The fourth proportional to 1,606.92, 2,216.79 and 1,047.87 is: 1,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.92 : 2,216.79 = 1,047.87 : x
  2. Step 2: Convert to fraction form
    1,606.92/2,216.79 = 1,047.87/x
  3. Step 3: Cross multiply
    1,606.92x = 2,216.79 × 1,047.87
  4. Step 4: Simplify right side
    1,606.92x = 2,322,907.74
  5. Step 5: Solve for x
    x = 2,322,907.74/1,606.92
  6. Step 6: Final answer
    x = 1,445.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.