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Finding the Fourth Proportional to 1,428.82, 1,970.45 and 931.27

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Solution

The fourth proportional to 1,428.82, 1,970.45 and 931.27 is: 1,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.82 : 1,970.45 = 931.27 : x
  2. Step 2: Convert to fraction form
    1,428.82/1,970.45 = 931.27/x
  3. Step 3: Cross multiply
    1,428.82x = 1,970.45 × 931.27
  4. Step 4: Simplify right side
    1,428.82x = 1,835,020.97
  5. Step 5: Solve for x
    x = 1,835,020.97/1,428.82
  6. Step 6: Final answer
    x = 1,284.29

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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.