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Finding the Fourth Proportional to 2,499.17, 3,745.11 and 1,405.67

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Solution

The fourth proportional to 2,499.17, 3,745.11 and 1,405.67 is: 2,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.17 : 3,745.11 = 1,405.67 : x
  2. Step 2: Convert to fraction form
    2,499.17/3,745.11 = 1,405.67/x
  3. Step 3: Cross multiply
    2,499.17x = 3,745.11 × 1,405.67
  4. Step 4: Simplify right side
    2,499.17x = 5,264,372.38
  5. Step 5: Solve for x
    x = 5,264,372.38/2,499.17
  6. Step 6: Final answer
    x = 2,106.45

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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.