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Finding the Fourth Proportional to 2,598.20, 3,892.98 and 1,827.08

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Solution

The fourth proportional to 2,598.20, 3,892.98 and 1,827.08 is: 2,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.20 : 3,892.98 = 1,827.08 : x
  2. Step 2: Convert to fraction form
    2,598.20/3,892.98 = 1,827.08/x
  3. Step 3: Cross multiply
    2,598.20x = 3,892.98 × 1,827.08
  4. Step 4: Simplify right side
    2,598.20x = 7,112,785.90
  5. Step 5: Solve for x
    x = 7,112,785.90/2,598.20
  6. Step 6: Final answer
    x = 2,737.58

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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.