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Finding the Fourth Proportional to 1,647.19, 2,273.14 and 901.18

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Solution

The fourth proportional to 1,647.19, 2,273.14 and 901.18 is: 1,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.19 : 2,273.14 = 901.18 : x
  2. Step 2: Convert to fraction form
    1,647.19/2,273.14 = 901.18/x
  3. Step 3: Cross multiply
    1,647.19x = 2,273.14 × 901.18
  4. Step 4: Simplify right side
    1,647.19x = 2,048,506.54
  5. Step 5: Solve for x
    x = 2,048,506.54/1,647.19
  6. Step 6: Final answer
    x = 1,243.64

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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.