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Finding the Fourth Proportional to 1,222.12, 1,837.23 and 948.34

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Solution

The fourth proportional to 1,222.12, 1,837.23 and 948.34 is: 1,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.12 : 1,837.23 = 948.34 : x
  2. Step 2: Convert to fraction form
    1,222.12/1,837.23 = 948.34/x
  3. Step 3: Cross multiply
    1,222.12x = 1,837.23 × 948.34
  4. Step 4: Simplify right side
    1,222.12x = 1,742,318.70
  5. Step 5: Solve for x
    x = 1,742,318.70/1,222.12
  6. Step 6: Final answer
    x = 1,425.65

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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.