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Finding the Fourth Proportional to 4,605.50, 6,907.62 and 1,318.88

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Solution

The fourth proportional to 4,605.50, 6,907.62 and 1,318.88 is: 1,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.50 : 6,907.62 = 1,318.88 : x
  2. Step 2: Convert to fraction form
    4,605.50/6,907.62 = 1,318.88/x
  3. Step 3: Cross multiply
    4,605.50x = 6,907.62 × 1,318.88
  4. Step 4: Simplify right side
    4,605.50x = 9,110,321.87
  5. Step 5: Solve for x
    x = 9,110,321.87/4,605.50
  6. Step 6: Final answer
    x = 1,978.14

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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.