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Finding the Fourth Proportional to 1,688.27, 2,330.45 and 1,451.27

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Solution

The fourth proportional to 1,688.27, 2,330.45 and 1,451.27 is: 2,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.27 : 2,330.45 = 1,451.27 : x
  2. Step 2: Convert to fraction form
    1,688.27/2,330.45 = 1,451.27/x
  3. Step 3: Cross multiply
    1,688.27x = 2,330.45 × 1,451.27
  4. Step 4: Simplify right side
    1,688.27x = 3,382,093.26
  5. Step 5: Solve for x
    x = 3,382,093.26/1,688.27
  6. Step 6: Final answer
    x = 2,003.30

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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.