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Finding the Fourth Proportional to 2,459.90, 3,393.82 and 1,576.24

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Solution

The fourth proportional to 2,459.90, 3,393.82 and 1,576.24 is: 2,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.90 : 3,393.82 = 1,576.24 : x
  2. Step 2: Convert to fraction form
    2,459.90/3,393.82 = 1,576.24/x
  3. Step 3: Cross multiply
    2,459.90x = 3,393.82 × 1,576.24
  4. Step 4: Simplify right side
    2,459.90x = 5,349,474.84
  5. Step 5: Solve for x
    x = 5,349,474.84/2,459.90
  6. Step 6: Final answer
    x = 2,174.67

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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.