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Finding the Fourth Proportional to 1,384.65, 1,908.63 and 1,089.54

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Solution

The fourth proportional to 1,384.65, 1,908.63 and 1,089.54 is: 1,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.65 : 1,908.63 = 1,089.54 : x
  2. Step 2: Convert to fraction form
    1,384.65/1,908.63 = 1,089.54/x
  3. Step 3: Cross multiply
    1,384.65x = 1,908.63 × 1,089.54
  4. Step 4: Simplify right side
    1,384.65x = 2,079,528.73
  5. Step 5: Solve for x
    x = 2,079,528.73/1,384.65
  6. Step 6: Final answer
    x = 1,501.84

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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.