Home / 2,090.25-2,884.64-1,158.75

Finding the Fourth Proportional to 2,090.25, 2,884.64 and 1,158.75

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Solution

The fourth proportional to 2,090.25, 2,884.64 and 1,158.75 is: 1,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.25 : 2,884.64 = 1,158.75 : x
  2. Step 2: Convert to fraction form
    2,090.25/2,884.64 = 1,158.75/x
  3. Step 3: Cross multiply
    2,090.25x = 2,884.64 × 1,158.75
  4. Step 4: Simplify right side
    2,090.25x = 3,342,570.81
  5. Step 5: Solve for x
    x = 3,342,570.81/2,090.25
  6. Step 6: Final answer
    x = 1,599.12

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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.