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Finding the Fourth Proportional to 1,967.67, 2,715.55 and 1,083.65

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Solution

The fourth proportional to 1,967.67, 2,715.55 and 1,083.65 is: 1,495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.67 : 2,715.55 = 1,083.65 : x
  2. Step 2: Convert to fraction form
    1,967.67/2,715.55 = 1,083.65/x
  3. Step 3: Cross multiply
    1,967.67x = 2,715.55 × 1,083.65
  4. Step 4: Simplify right side
    1,967.67x = 2,942,689.47
  5. Step 5: Solve for x
    x = 2,942,689.47/1,967.67
  6. Step 6: Final answer
    x = 1,495.52

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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.