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Finding the Fourth Proportional to 1,441.91, 1,989.53 and 882.50

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Solution

The fourth proportional to 1,441.91, 1,989.53 and 882.50 is: 1,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.91 : 1,989.53 = 882.50 : x
  2. Step 2: Convert to fraction form
    1,441.91/1,989.53 = 882.50/x
  3. Step 3: Cross multiply
    1,441.91x = 1,989.53 × 882.50
  4. Step 4: Simplify right side
    1,441.91x = 1,755,767.41
  5. Step 5: Solve for x
    x = 1,755,767.41/1,441.91
  6. Step 6: Final answer
    x = 1,217.67

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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.