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Finding the Fourth Proportional to 2,970.97, 4,457.11 and 2,444.67

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Solution

The fourth proportional to 2,970.97, 4,457.11 and 2,444.67 is: 3,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.97 : 4,457.11 = 2,444.67 : x
  2. Step 2: Convert to fraction form
    2,970.97/4,457.11 = 2,444.67/x
  3. Step 3: Cross multiply
    2,970.97x = 4,457.11 × 2,444.67
  4. Step 4: Simplify right side
    2,970.97x = 10,896,163.10
  5. Step 5: Solve for x
    x = 10,896,163.10/2,970.97
  6. Step 6: Final answer
    x = 3,667.54

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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.