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Finding the Fourth Proportional to 1,944.72, 2,684.04 and 1,159.04

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Solution

The fourth proportional to 1,944.72, 2,684.04 and 1,159.04 is: 1,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.72 : 2,684.04 = 1,159.04 : x
  2. Step 2: Convert to fraction form
    1,944.72/2,684.04 = 1,159.04/x
  3. Step 3: Cross multiply
    1,944.72x = 2,684.04 × 1,159.04
  4. Step 4: Simplify right side
    1,944.72x = 3,110,909.72
  5. Step 5: Solve for x
    x = 3,110,909.72/1,944.72
  6. Step 6: Final answer
    x = 1,599.67

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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.