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Finding the Fourth Proportional to 1,405.22, 2,109.27 and 675.14

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Solution

The fourth proportional to 1,405.22, 2,109.27 and 675.14 is: 1,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.22 : 2,109.27 = 675.14 : x
  2. Step 2: Convert to fraction form
    1,405.22/2,109.27 = 675.14/x
  3. Step 3: Cross multiply
    1,405.22x = 2,109.27 × 675.14
  4. Step 4: Simplify right side
    1,405.22x = 1,424,052.55
  5. Step 5: Solve for x
    x = 1,424,052.55/1,405.22
  6. Step 6: Final answer
    x = 1,013.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.