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Finding the Fourth Proportional to 2,355.22, 3,250.47 and 1,458.78

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Solution

The fourth proportional to 2,355.22, 3,250.47 and 1,458.78 is: 2,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.22 : 3,250.47 = 1,458.78 : x
  2. Step 2: Convert to fraction form
    2,355.22/3,250.47 = 1,458.78/x
  3. Step 3: Cross multiply
    2,355.22x = 3,250.47 × 1,458.78
  4. Step 4: Simplify right side
    2,355.22x = 4,741,720.63
  5. Step 5: Solve for x
    x = 4,741,720.63/2,355.22
  6. Step 6: Final answer
    x = 2,013.28

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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.