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Finding the Fourth Proportional to 2,054.03, 2,834.24 and 1,157.81

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Solution

The fourth proportional to 2,054.03, 2,834.24 and 1,157.81 is: 1,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.03 : 2,834.24 = 1,157.81 : x
  2. Step 2: Convert to fraction form
    2,054.03/2,834.24 = 1,157.81/x
  3. Step 3: Cross multiply
    2,054.03x = 2,834.24 × 1,157.81
  4. Step 4: Simplify right side
    2,054.03x = 3,281,491.45
  5. Step 5: Solve for x
    x = 3,281,491.45/2,054.03
  6. Step 6: Final answer
    x = 1,597.59

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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.