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Finding the Fourth Proportional to 1,945.12, 2,914.38 and 1,174

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Solution

The fourth proportional to 1,945.12, 2,914.38 and 1,174 is: 1,759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.12 : 2,914.38 = 1,174 : x
  2. Step 2: Convert to fraction form
    1,945.12/2,914.38 = 1,174/x
  3. Step 3: Cross multiply
    1,945.12x = 2,914.38 × 1,174
  4. Step 4: Simplify right side
    1,945.12x = 3,421,482.12
  5. Step 5: Solve for x
    x = 3,421,482.12/1,945.12
  6. Step 6: Final answer
    x = 1,759.01

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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.