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Finding the Fourth Proportional to 1,838.08, 2,756.85 and 913.33

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Solution

The fourth proportional to 1,838.08, 2,756.85 and 913.33 is: 1,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.08 : 2,756.85 = 913.33 : x
  2. Step 2: Convert to fraction form
    1,838.08/2,756.85 = 913.33/x
  3. Step 3: Cross multiply
    1,838.08x = 2,756.85 × 913.33
  4. Step 4: Simplify right side
    1,838.08x = 2,517,913.81
  5. Step 5: Solve for x
    x = 2,517,913.81/1,838.08
  6. Step 6: Final answer
    x = 1,369.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.