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Finding the Fourth Proportional to 2,155.82, 2,974.22 and 1,315.94

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Solution

The fourth proportional to 2,155.82, 2,974.22 and 1,315.94 is: 1,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.82 : 2,974.22 = 1,315.94 : x
  2. Step 2: Convert to fraction form
    2,155.82/2,974.22 = 1,315.94/x
  3. Step 3: Cross multiply
    2,155.82x = 2,974.22 × 1,315.94
  4. Step 4: Simplify right side
    2,155.82x = 3,913,895.07
  5. Step 5: Solve for x
    x = 3,913,895.07/2,155.82
  6. Step 6: Final answer
    x = 1,815.50

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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.