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Finding the Fourth Proportional to 1,384.47, 1,909.23 and 1,069.23

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Solution

The fourth proportional to 1,384.47, 1,909.23 and 1,069.23 is: 1,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.47 : 1,909.23 = 1,069.23 : x
  2. Step 2: Convert to fraction form
    1,384.47/1,909.23 = 1,069.23/x
  3. Step 3: Cross multiply
    1,384.47x = 1,909.23 × 1,069.23
  4. Step 4: Simplify right side
    1,384.47x = 2,041,405.99
  5. Step 5: Solve for x
    x = 2,041,405.99/1,384.47
  6. Step 6: Final answer
    x = 1,474.50

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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.