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Finding the Fourth Proportional to 2,003.48, 3,005.56 and 616.79

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Solution

The fourth proportional to 2,003.48, 3,005.56 and 616.79 is: 925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.48 : 3,005.56 = 616.79 : x
  2. Step 2: Convert to fraction form
    2,003.48/3,005.56 = 616.79/x
  3. Step 3: Cross multiply
    2,003.48x = 3,005.56 × 616.79
  4. Step 4: Simplify right side
    2,003.48x = 1,853,784.32
  5. Step 5: Solve for x
    x = 1,853,784.32/2,003.48
  6. Step 6: Final answer
    x = 925.28

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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.