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Finding the Fourth Proportional to 2,006.37, 3,010.52 and 708.45

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Solution

The fourth proportional to 2,006.37, 3,010.52 and 708.45 is: 1,063.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.37 : 3,010.52 = 708.45 : x
  2. Step 2: Convert to fraction form
    2,006.37/3,010.52 = 708.45/x
  3. Step 3: Cross multiply
    2,006.37x = 3,010.52 × 708.45
  4. Step 4: Simplify right side
    2,006.37x = 2,132,799.35
  5. Step 5: Solve for x
    x = 2,132,799.35/2,006.37
  6. Step 6: Final answer
    x = 1,063.01

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