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Finding the Fourth Proportional to 4,402, 6,603.11 and 1,480.33

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Solution

The fourth proportional to 4,402, 6,603.11 and 1,480.33 is: 2,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402 : 6,603.11 = 1,480.33 : x
  2. Step 2: Convert to fraction form
    4,402/6,603.11 = 1,480.33/x
  3. Step 3: Cross multiply
    4,402x = 6,603.11 × 1,480.33
  4. Step 4: Simplify right side
    4,402x = 9,774,781.83
  5. Step 5: Solve for x
    x = 9,774,781.83/4,402
  6. Step 6: Final answer
    x = 2,220.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.