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Finding the Fourth Proportional to 2,598.02, 3,582.20 and 2,099.11

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Solution

The fourth proportional to 2,598.02, 3,582.20 and 2,099.11 is: 2,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.02 : 3,582.20 = 2,099.11 : x
  2. Step 2: Convert to fraction form
    2,598.02/3,582.20 = 2,099.11/x
  3. Step 3: Cross multiply
    2,598.02x = 3,582.20 × 2,099.11
  4. Step 4: Simplify right side
    2,598.02x = 7,519,431.84
  5. Step 5: Solve for x
    x = 7,519,431.84/2,598.02
  6. Step 6: Final answer
    x = 2,894.29

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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.