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Finding the Fourth Proportional to 2,140.37, 3,209.00 and 1,445.31

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Solution

The fourth proportional to 2,140.37, 3,209.00 and 1,445.31 is: 2,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.37 : 3,209.00 = 1,445.31 : x
  2. Step 2: Convert to fraction form
    2,140.37/3,209.00 = 1,445.31/x
  3. Step 3: Cross multiply
    2,140.37x = 3,209.00 × 1,445.31
  4. Step 4: Simplify right side
    2,140.37x = 4,638,010.02
  5. Step 5: Solve for x
    x = 4,638,010.02/2,140.37
  6. Step 6: Final answer
    x = 2,166.92

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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.