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Finding the Fourth Proportional to 2,498.00, 3,745.58 and 1,162.35

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Solution

The fourth proportional to 2,498.00, 3,745.58 and 1,162.35 is: 1,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.00 : 3,745.58 = 1,162.35 : x
  2. Step 2: Convert to fraction form
    2,498.00/3,745.58 = 1,162.35/x
  3. Step 3: Cross multiply
    2,498.00x = 3,745.58 × 1,162.35
  4. Step 4: Simplify right side
    2,498.00x = 4,353,669.10
  5. Step 5: Solve for x
    x = 4,353,669.10/2,498.00
  6. Step 6: Final answer
    x = 1,742.87

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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.