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Finding the Fourth Proportional to 1,847.57, 2,549.80 and 1,051.15

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Solution

The fourth proportional to 1,847.57, 2,549.80 and 1,051.15 is: 1,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.57 : 2,549.80 = 1,051.15 : x
  2. Step 2: Convert to fraction form
    1,847.57/2,549.80 = 1,051.15/x
  3. Step 3: Cross multiply
    1,847.57x = 2,549.80 × 1,051.15
  4. Step 4: Simplify right side
    1,847.57x = 2,680,222.27
  5. Step 5: Solve for x
    x = 2,680,222.27/1,847.57
  6. Step 6: Final answer
    x = 1,450.67

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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.