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Finding the Fourth Proportional to 2,930.16, 4,045.29 and 1,938.31

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Solution

The fourth proportional to 2,930.16, 4,045.29 and 1,938.31 is: 2,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.16 : 4,045.29 = 1,938.31 : x
  2. Step 2: Convert to fraction form
    2,930.16/4,045.29 = 1,938.31/x
  3. Step 3: Cross multiply
    2,930.16x = 4,045.29 × 1,938.31
  4. Step 4: Simplify right side
    2,930.16x = 7,841,026.06
  5. Step 5: Solve for x
    x = 7,841,026.06/2,930.16
  6. Step 6: Final answer
    x = 2,675.97

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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.