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Finding the Fourth Proportional to 3,225.76, 4,449.43 and 1,898.54

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Solution

The fourth proportional to 3,225.76, 4,449.43 and 1,898.54 is: 2,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.76 : 4,449.43 = 1,898.54 : x
  2. Step 2: Convert to fraction form
    3,225.76/4,449.43 = 1,898.54/x
  3. Step 3: Cross multiply
    3,225.76x = 4,449.43 × 1,898.54
  4. Step 4: Simplify right side
    3,225.76x = 8,447,417.64
  5. Step 5: Solve for x
    x = 8,447,417.64/3,225.76
  6. Step 6: Final answer
    x = 2,618.74

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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.