Home / 1,442.28-1,990.59-946.26

Finding the Fourth Proportional to 1,442.28, 1,990.59 and 946.26

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Solution

The fourth proportional to 1,442.28, 1,990.59 and 946.26 is: 1,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.28 : 1,990.59 = 946.26 : x
  2. Step 2: Convert to fraction form
    1,442.28/1,990.59 = 946.26/x
  3. Step 3: Cross multiply
    1,442.28x = 1,990.59 × 946.26
  4. Step 4: Simplify right side
    1,442.28x = 1,883,615.69
  5. Step 5: Solve for x
    x = 1,883,615.69/1,442.28
  6. Step 6: Final answer
    x = 1,306.00

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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.