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Finding the Fourth Proportional to 2,003.77, 3,006.06 and 705.07

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Solution

The fourth proportional to 2,003.77, 3,006.06 and 705.07 is: 1,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.77 : 3,006.06 = 705.07 : x
  2. Step 2: Convert to fraction form
    2,003.77/3,006.06 = 705.07/x
  3. Step 3: Cross multiply
    2,003.77x = 3,006.06 × 705.07
  4. Step 4: Simplify right side
    2,003.77x = 2,119,482.72
  5. Step 5: Solve for x
    x = 2,119,482.72/2,003.77
  6. Step 6: Final answer
    x = 1,057.75

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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.