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Finding the Fourth Proportional to 2,235.90, 3,354.42 and 1,140.24

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Solution

The fourth proportional to 2,235.90, 3,354.42 and 1,140.24 is: 1,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.90 : 3,354.42 = 1,140.24 : x
  2. Step 2: Convert to fraction form
    2,235.90/3,354.42 = 1,140.24/x
  3. Step 3: Cross multiply
    2,235.90x = 3,354.42 × 1,140.24
  4. Step 4: Simplify right side
    2,235.90x = 3,824,843.86
  5. Step 5: Solve for x
    x = 3,824,843.86/2,235.90
  6. Step 6: Final answer
    x = 1,710.65

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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.