Home / 1,428.48-1,968-1,117.44

Finding the Fourth Proportional to 1,428.48, 1,968 and 1,117.44

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Solution

The fourth proportional to 1,428.48, 1,968 and 1,117.44 is: 1,539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.48 : 1,968 = 1,117.44 : x
  2. Step 2: Convert to fraction form
    1,428.48/1,968 = 1,117.44/x
  3. Step 3: Cross multiply
    1,428.48x = 1,968 × 1,117.44
  4. Step 4: Simplify right side
    1,428.48x = 2,199,121.92
  5. Step 5: Solve for x
    x = 2,199,121.92/1,428.48
  6. Step 6: Final answer
    x = 1,539.48

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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.