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Finding the Fourth Proportional to 1,646.23, 2,271.95 and 938.29

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Solution

The fourth proportional to 1,646.23, 2,271.95 and 938.29 is: 1,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.23 : 2,271.95 = 938.29 : x
  2. Step 2: Convert to fraction form
    1,646.23/2,271.95 = 938.29/x
  3. Step 3: Cross multiply
    1,646.23x = 2,271.95 × 938.29
  4. Step 4: Simplify right side
    1,646.23x = 2,131,747.97
  5. Step 5: Solve for x
    x = 2,131,747.97/1,646.23
  6. Step 6: Final answer
    x = 1,294.93

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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.