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Finding the Fourth Proportional to 2,563.90, 3,845.86 and 616.11

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Solution

The fourth proportional to 2,563.90, 3,845.86 and 616.11 is: 924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.90 : 3,845.86 = 616.11 : x
  2. Step 2: Convert to fraction form
    2,563.90/3,845.86 = 616.11/x
  3. Step 3: Cross multiply
    2,563.90x = 3,845.86 × 616.11
  4. Step 4: Simplify right side
    2,563.90x = 2,369,461.15
  5. Step 5: Solve for x
    x = 2,369,461.15/2,563.90
  6. Step 6: Final answer
    x = 924.16

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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.