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Finding the Fourth Proportional to 3,406.90, 4,702.23 and 2,010.10

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Solution

The fourth proportional to 3,406.90, 4,702.23 and 2,010.10 is: 2,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.90 : 4,702.23 = 2,010.10 : x
  2. Step 2: Convert to fraction form
    3,406.90/4,702.23 = 2,010.10/x
  3. Step 3: Cross multiply
    3,406.90x = 4,702.23 × 2,010.10
  4. Step 4: Simplify right side
    3,406.90x = 9,451,952.52
  5. Step 5: Solve for x
    x = 9,451,952.52/3,406.90
  6. Step 6: Final answer
    x = 2,774.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.