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Finding the Fourth Proportional to 1,891.67, 2,609.79 and 1,395.50

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Solution

The fourth proportional to 1,891.67, 2,609.79 and 1,395.50 is: 1,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.67 : 2,609.79 = 1,395.50 : x
  2. Step 2: Convert to fraction form
    1,891.67/2,609.79 = 1,395.50/x
  3. Step 3: Cross multiply
    1,891.67x = 2,609.79 × 1,395.50
  4. Step 4: Simplify right side
    1,891.67x = 3,641,943.66
  5. Step 5: Solve for x
    x = 3,641,943.66/1,891.67
  6. Step 6: Final answer
    x = 1,925.25

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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.