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Finding the Fourth Proportional to 1,384.08, 1,911.80 and 1,218.84

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Solution

The fourth proportional to 1,384.08, 1,911.80 and 1,218.84 is: 1,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.08 : 1,911.80 = 1,218.84 : x
  2. Step 2: Convert to fraction form
    1,384.08/1,911.80 = 1,218.84/x
  3. Step 3: Cross multiply
    1,384.08x = 1,911.80 × 1,218.84
  4. Step 4: Simplify right side
    1,384.08x = 2,330,178.31
  5. Step 5: Solve for x
    x = 2,330,178.31/1,384.08
  6. Step 6: Final answer
    x = 1,683.56

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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.