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Finding the Fourth Proportional to 2,010.69, 3,015.84 and 624.03

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Solution

The fourth proportional to 2,010.69, 3,015.84 and 624.03 is: 935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.69 : 3,015.84 = 624.03 : x
  2. Step 2: Convert to fraction form
    2,010.69/3,015.84 = 624.03/x
  3. Step 3: Cross multiply
    2,010.69x = 3,015.84 × 624.03
  4. Step 4: Simplify right side
    2,010.69x = 1,881,974.64
  5. Step 5: Solve for x
    x = 1,881,974.64/2,010.69
  6. Step 6: Final answer
    x = 935.98

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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.