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Finding the Fourth Proportional to 1,603.45, 2,212.23 and 1,006.46

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Solution

The fourth proportional to 1,603.45, 2,212.23 and 1,006.46 is: 1,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.45 : 2,212.23 = 1,006.46 : x
  2. Step 2: Convert to fraction form
    1,603.45/2,212.23 = 1,006.46/x
  3. Step 3: Cross multiply
    1,603.45x = 2,212.23 × 1,006.46
  4. Step 4: Simplify right side
    1,603.45x = 2,226,516.35
  5. Step 5: Solve for x
    x = 2,226,516.35/1,603.45
  6. Step 6: Final answer
    x = 1,388.58

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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.