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Finding the Fourth Proportional to 1,941.65, 2,912.52 and 555.11

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Solution

The fourth proportional to 1,941.65, 2,912.52 and 555.11 is: 832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.65 : 2,912.52 = 555.11 : x
  2. Step 2: Convert to fraction form
    1,941.65/2,912.52 = 555.11/x
  3. Step 3: Cross multiply
    1,941.65x = 2,912.52 × 555.11
  4. Step 4: Simplify right side
    1,941.65x = 1,616,754.41
  5. Step 5: Solve for x
    x = 1,616,754.41/1,941.65
  6. Step 6: Final answer
    x = 832.67

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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.