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Finding the Fourth Proportional to 1,753.06, 2,419.20 and 967.12

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Solution

The fourth proportional to 1,753.06, 2,419.20 and 967.12 is: 1,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.06 : 2,419.20 = 967.12 : x
  2. Step 2: Convert to fraction form
    1,753.06/2,419.20 = 967.12/x
  3. Step 3: Cross multiply
    1,753.06x = 2,419.20 × 967.12
  4. Step 4: Simplify right side
    1,753.06x = 2,339,656.70
  5. Step 5: Solve for x
    x = 2,339,656.70/1,753.06
  6. Step 6: Final answer
    x = 1,334.61

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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.