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Finding the Fourth Proportional to 1,457.19, 2,183.88 and 799.08

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Solution

The fourth proportional to 1,457.19, 2,183.88 and 799.08 is: 1,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.19 : 2,183.88 = 799.08 : x
  2. Step 2: Convert to fraction form
    1,457.19/2,183.88 = 799.08/x
  3. Step 3: Cross multiply
    1,457.19x = 2,183.88 × 799.08
  4. Step 4: Simplify right side
    1,457.19x = 1,745,094.83
  5. Step 5: Solve for x
    x = 1,745,094.83/1,457.19
  6. Step 6: Final answer
    x = 1,197.58

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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.