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Finding the Fourth Proportional to 2,900.14, 4,002.41 and 1,765.67

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Solution

The fourth proportional to 2,900.14, 4,002.41 and 1,765.67 is: 2,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.14 : 4,002.41 = 1,765.67 : x
  2. Step 2: Convert to fraction form
    2,900.14/4,002.41 = 1,765.67/x
  3. Step 3: Cross multiply
    2,900.14x = 4,002.41 × 1,765.67
  4. Step 4: Simplify right side
    2,900.14x = 7,066,919.67
  5. Step 5: Solve for x
    x = 7,066,919.67/2,900.14
  6. Step 6: Final answer
    x = 2,436.75

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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.