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Finding the Fourth Proportional to 2,255.60, 3,384.08 and 1,598.74

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Solution

The fourth proportional to 2,255.60, 3,384.08 and 1,598.74 is: 2,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.60 : 3,384.08 = 1,598.74 : x
  2. Step 2: Convert to fraction form
    2,255.60/3,384.08 = 1,598.74/x
  3. Step 3: Cross multiply
    2,255.60x = 3,384.08 × 1,598.74
  4. Step 4: Simplify right side
    2,255.60x = 5,410,260.30
  5. Step 5: Solve for x
    x = 5,410,260.30/2,255.60
  6. Step 6: Final answer
    x = 2,398.60

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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.