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Finding the Fourth Proportional to 1,821.99, 2,512.86 and 1,157.69

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Solution

The fourth proportional to 1,821.99, 2,512.86 and 1,157.69 is: 1,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.99 : 2,512.86 = 1,157.69 : x
  2. Step 2: Convert to fraction form
    1,821.99/2,512.86 = 1,157.69/x
  3. Step 3: Cross multiply
    1,821.99x = 2,512.86 × 1,157.69
  4. Step 4: Simplify right side
    1,821.99x = 2,909,114.83
  5. Step 5: Solve for x
    x = 2,909,114.83/1,821.99
  6. Step 6: Final answer
    x = 1,596.67

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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.