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Finding the Fourth Proportional to 2,003.63, 3,005.83 and 616.72

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Solution

The fourth proportional to 2,003.63, 3,005.83 and 616.72 is: 925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.63 : 3,005.83 = 616.72 : x
  2. Step 2: Convert to fraction form
    2,003.63/3,005.83 = 616.72/x
  3. Step 3: Cross multiply
    2,003.63x = 3,005.83 × 616.72
  4. Step 4: Simplify right side
    2,003.63x = 1,853,746.42
  5. Step 5: Solve for x
    x = 1,853,746.42/2,003.63
  6. Step 6: Final answer
    x = 925.20

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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.