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Finding the Fourth Proportional to 1,427.67, 1,969.70 and 1,055.43

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Solution

The fourth proportional to 1,427.67, 1,969.70 and 1,055.43 is: 1,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.67 : 1,969.70 = 1,055.43 : x
  2. Step 2: Convert to fraction form
    1,427.67/1,969.70 = 1,055.43/x
  3. Step 3: Cross multiply
    1,427.67x = 1,969.70 × 1,055.43
  4. Step 4: Simplify right side
    1,427.67x = 2,078,875.19
  5. Step 5: Solve for x
    x = 2,078,875.19/1,427.67
  6. Step 6: Final answer
    x = 1,456.13

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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.