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Finding the Fourth Proportional to 1,405.90, 1,940.88 and 909.22

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Solution

The fourth proportional to 1,405.90, 1,940.88 and 909.22 is: 1,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.90 : 1,940.88 = 909.22 : x
  2. Step 2: Convert to fraction form
    1,405.90/1,940.88 = 909.22/x
  3. Step 3: Cross multiply
    1,405.90x = 1,940.88 × 909.22
  4. Step 4: Simplify right side
    1,405.90x = 1,764,686.91
  5. Step 5: Solve for x
    x = 1,764,686.91/1,405.90
  6. Step 6: Final answer
    x = 1,255.20

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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.