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Finding the Fourth Proportional to 4,603.98, 6,907.60 and 1,832.56

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Solution

The fourth proportional to 4,603.98, 6,907.60 and 1,832.56 is: 2,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.98 : 6,907.60 = 1,832.56 : x
  2. Step 2: Convert to fraction form
    4,603.98/6,907.60 = 1,832.56/x
  3. Step 3: Cross multiply
    4,603.98x = 6,907.60 × 1,832.56
  4. Step 4: Simplify right side
    4,603.98x = 12,658,591.46
  5. Step 5: Solve for x
    x = 12,658,591.46/4,603.98
  6. Step 6: Final answer
    x = 2,749.49

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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.