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Finding the Fourth Proportional to 2,003.77, 3,005.66 and 771.76

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Solution

The fourth proportional to 2,003.77, 3,005.66 and 771.76 is: 1,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.77 : 3,005.66 = 771.76 : x
  2. Step 2: Convert to fraction form
    2,003.77/3,005.66 = 771.76/x
  3. Step 3: Cross multiply
    2,003.77x = 3,005.66 × 771.76
  4. Step 4: Simplify right side
    2,003.77x = 2,319,636.79
  5. Step 5: Solve for x
    x = 2,319,636.79/2,003.77
  6. Step 6: Final answer
    x = 1,157.64

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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.