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Finding the Fourth Proportional to 1,347.24, 2,019.14 and 606.05

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Solution

The fourth proportional to 1,347.24, 2,019.14 and 606.05 is: 908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.24 : 2,019.14 = 606.05 : x
  2. Step 2: Convert to fraction form
    1,347.24/2,019.14 = 606.05/x
  3. Step 3: Cross multiply
    1,347.24x = 2,019.14 × 606.05
  4. Step 4: Simplify right side
    1,347.24x = 1,223,709.01
  5. Step 5: Solve for x
    x = 1,223,709.01/1,347.24
  6. Step 6: Final answer
    x = 908.31

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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.