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Finding the Fourth Proportional to 2,901.98, 4,004.74 and 1,575.67

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Solution

The fourth proportional to 2,901.98, 4,004.74 and 1,575.67 is: 2,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.98 : 4,004.74 = 1,575.67 : x
  2. Step 2: Convert to fraction form
    2,901.98/4,004.74 = 1,575.67/x
  3. Step 3: Cross multiply
    2,901.98x = 4,004.74 × 1,575.67
  4. Step 4: Simplify right side
    2,901.98x = 6,310,148.68
  5. Step 5: Solve for x
    x = 6,310,148.68/2,901.98
  6. Step 6: Final answer
    x = 2,174.43

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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.