Home / 1,466.14-2,023.08-942.07

Finding the Fourth Proportional to 1,466.14, 2,023.08 and 942.07

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Solution

The fourth proportional to 1,466.14, 2,023.08 and 942.07 is: 1,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.14 : 2,023.08 = 942.07 : x
  2. Step 2: Convert to fraction form
    1,466.14/2,023.08 = 942.07/x
  3. Step 3: Cross multiply
    1,466.14x = 2,023.08 × 942.07
  4. Step 4: Simplify right side
    1,466.14x = 1,905,882.98
  5. Step 5: Solve for x
    x = 1,905,882.98/1,466.14
  6. Step 6: Final answer
    x = 1,299.93

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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.