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Finding the Fourth Proportional to 2,195.81, 3,030.41 and 1,311.59

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Solution

The fourth proportional to 2,195.81, 3,030.41 and 1,311.59 is: 1,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.81 : 3,030.41 = 1,311.59 : x
  2. Step 2: Convert to fraction form
    2,195.81/3,030.41 = 1,311.59/x
  3. Step 3: Cross multiply
    2,195.81x = 3,030.41 × 1,311.59
  4. Step 4: Simplify right side
    2,195.81x = 3,974,666.31
  5. Step 5: Solve for x
    x = 3,974,666.31/2,195.81
  6. Step 6: Final answer
    x = 1,810.11

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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.