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Finding the Fourth Proportional to 2,498.95, 3,745.69 and 1,574.94

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Solution

The fourth proportional to 2,498.95, 3,745.69 and 1,574.94 is: 2,360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.95 : 3,745.69 = 1,574.94 : x
  2. Step 2: Convert to fraction form
    2,498.95/3,745.69 = 1,574.94/x
  3. Step 3: Cross multiply
    2,498.95x = 3,745.69 × 1,574.94
  4. Step 4: Simplify right side
    2,498.95x = 5,899,255.98
  5. Step 5: Solve for x
    x = 5,899,255.98/2,498.95
  6. Step 6: Final answer
    x = 2,360.69

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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.