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Finding the Fourth Proportional to 2,113.80, 2,918.06 and 1,406.82

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Solution

The fourth proportional to 2,113.80, 2,918.06 and 1,406.82 is: 1,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.80 : 2,918.06 = 1,406.82 : x
  2. Step 2: Convert to fraction form
    2,113.80/2,918.06 = 1,406.82/x
  3. Step 3: Cross multiply
    2,113.80x = 2,918.06 × 1,406.82
  4. Step 4: Simplify right side
    2,113.80x = 4,105,185.17
  5. Step 5: Solve for x
    x = 4,105,185.17/2,113.80
  6. Step 6: Final answer
    x = 1,942.09

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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.