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Finding the Fourth Proportional to 1,384.77, 1,908.96 and 1,089.53

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Solution

The fourth proportional to 1,384.77, 1,908.96 and 1,089.53 is: 1,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.77 : 1,908.96 = 1,089.53 : x
  2. Step 2: Convert to fraction form
    1,384.77/1,908.96 = 1,089.53/x
  3. Step 3: Cross multiply
    1,384.77x = 1,908.96 × 1,089.53
  4. Step 4: Simplify right side
    1,384.77x = 2,079,859.64
  5. Step 5: Solve for x
    x = 2,079,859.64/1,384.77
  6. Step 6: Final answer
    x = 1,501.95

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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.