Home / 1,428.23-2,142.75-454.41

Finding the Fourth Proportional to 1,428.23, 2,142.75 and 454.41

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Solution

The fourth proportional to 1,428.23, 2,142.75 and 454.41 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.23 : 2,142.75 = 454.41 : x
  2. Step 2: Convert to fraction form
    1,428.23/2,142.75 = 454.41/x
  3. Step 3: Cross multiply
    1,428.23x = 2,142.75 × 454.41
  4. Step 4: Simplify right side
    1,428.23x = 973,688.73
  5. Step 5: Solve for x
    x = 973,688.73/1,428.23
  6. Step 6: Final answer
    x = 681.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.