Home / 1,189.14-1,643.85-942.18

Finding the Fourth Proportional to 1,189.14, 1,643.85 and 942.18

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Solution

The fourth proportional to 1,189.14, 1,643.85 and 942.18 is: 1,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.14 : 1,643.85 = 942.18 : x
  2. Step 2: Convert to fraction form
    1,189.14/1,643.85 = 942.18/x
  3. Step 3: Cross multiply
    1,189.14x = 1,643.85 × 942.18
  4. Step 4: Simplify right side
    1,189.14x = 1,548,802.59
  5. Step 5: Solve for x
    x = 1,548,802.59/1,189.14
  6. Step 6: Final answer
    x = 1,302.46

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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.