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Finding the Fourth Proportional to 2,598.10, 3,898 and 1,867.06

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Solution

The fourth proportional to 2,598.10, 3,898 and 1,867.06 is: 2,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.10 : 3,898 = 1,867.06 : x
  2. Step 2: Convert to fraction form
    2,598.10/3,898 = 1,867.06/x
  3. Step 3: Cross multiply
    2,598.10x = 3,898 × 1,867.06
  4. Step 4: Simplify right side
    2,598.10x = 7,277,799.88
  5. Step 5: Solve for x
    x = 7,277,799.88/2,598.10
  6. Step 6: Final answer
    x = 2,801.20

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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.