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Finding the Fourth Proportional to 2,590.10, 3,885.09 and 642.27

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Solution

The fourth proportional to 2,590.10, 3,885.09 and 642.27 is: 963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.10 : 3,885.09 = 642.27 : x
  2. Step 2: Convert to fraction form
    2,590.10/3,885.09 = 642.27/x
  3. Step 3: Cross multiply
    2,590.10x = 3,885.09 × 642.27
  4. Step 4: Simplify right side
    2,590.10x = 2,495,276.75
  5. Step 5: Solve for x
    x = 2,495,276.75/2,590.10
  6. Step 6: Final answer
    x = 963.39

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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.