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Finding the Fourth Proportional to 2,155.81, 2,974.20 and 1,315.93

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Solution

The fourth proportional to 2,155.81, 2,974.20 and 1,315.93 is: 1,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.81 : 2,974.20 = 1,315.93 : x
  2. Step 2: Convert to fraction form
    2,155.81/2,974.20 = 1,315.93/x
  3. Step 3: Cross multiply
    2,155.81x = 2,974.20 × 1,315.93
  4. Step 4: Simplify right side
    2,155.81x = 3,913,839.01
  5. Step 5: Solve for x
    x = 3,913,839.01/2,155.81
  6. Step 6: Final answer
    x = 1,815.48

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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.