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Finding the Fourth Proportional to 2,296.56, 3,445.06 and 2,140.28

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Solution

The fourth proportional to 2,296.56, 3,445.06 and 2,140.28 is: 3,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.56 : 3,445.06 = 2,140.28 : x
  2. Step 2: Convert to fraction form
    2,296.56/3,445.06 = 2,140.28/x
  3. Step 3: Cross multiply
    2,296.56x = 3,445.06 × 2,140.28
  4. Step 4: Simplify right side
    2,296.56x = 7,373,393.02
  5. Step 5: Solve for x
    x = 7,373,393.02/2,296.56
  6. Step 6: Final answer
    x = 3,210.63

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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.