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Finding the Fourth Proportional to 2,357.50, 3,254.22 and 2,024.59

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Solution

The fourth proportional to 2,357.50, 3,254.22 and 2,024.59 is: 2,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.50 : 3,254.22 = 2,024.59 : x
  2. Step 2: Convert to fraction form
    2,357.50/3,254.22 = 2,024.59/x
  3. Step 3: Cross multiply
    2,357.50x = 3,254.22 × 2,024.59
  4. Step 4: Simplify right side
    2,357.50x = 6,588,460.73
  5. Step 5: Solve for x
    x = 6,588,460.73/2,357.50
  6. Step 6: Final answer
    x = 2,794.68

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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.