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Finding the Fourth Proportional to 2,002.98, 3,004.71 and 616.26

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Solution

The fourth proportional to 2,002.98, 3,004.71 and 616.26 is: 924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.98 : 3,004.71 = 616.26 : x
  2. Step 2: Convert to fraction form
    2,002.98/3,004.71 = 616.26/x
  3. Step 3: Cross multiply
    2,002.98x = 3,004.71 × 616.26
  4. Step 4: Simplify right side
    2,002.98x = 1,851,682.58
  5. Step 5: Solve for x
    x = 1,851,682.58/2,002.98
  6. Step 6: Final answer
    x = 924.46

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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.