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Finding the Fourth Proportional to 1,967.63, 2,715.32 and 1,083.43

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Solution

The fourth proportional to 1,967.63, 2,715.32 and 1,083.43 is: 1,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.63 : 2,715.32 = 1,083.43 : x
  2. Step 2: Convert to fraction form
    1,967.63/2,715.32 = 1,083.43/x
  3. Step 3: Cross multiply
    1,967.63x = 2,715.32 × 1,083.43
  4. Step 4: Simplify right side
    1,967.63x = 2,941,849.98
  5. Step 5: Solve for x
    x = 2,941,849.98/1,967.63
  6. Step 6: Final answer
    x = 1,495.13

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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.