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Finding the Fourth Proportional to 1,913.81, 2,641.07 and 1,085.81

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Solution

The fourth proportional to 1,913.81, 2,641.07 and 1,085.81 is: 1,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.81 : 2,641.07 = 1,085.81 : x
  2. Step 2: Convert to fraction form
    1,913.81/2,641.07 = 1,085.81/x
  3. Step 3: Cross multiply
    1,913.81x = 2,641.07 × 1,085.81
  4. Step 4: Simplify right side
    1,913.81x = 2,867,701.39
  5. Step 5: Solve for x
    x = 2,867,701.39/1,913.81
  6. Step 6: Final answer
    x = 1,498.42

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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.