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Finding the Fourth Proportional to 1,422.03, 2,133.14 and 448.21

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Solution

The fourth proportional to 1,422.03, 2,133.14 and 448.21 is: 672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.03 : 2,133.14 = 448.21 : x
  2. Step 2: Convert to fraction form
    1,422.03/2,133.14 = 448.21/x
  3. Step 3: Cross multiply
    1,422.03x = 2,133.14 × 448.21
  4. Step 4: Simplify right side
    1,422.03x = 956,094.68
  5. Step 5: Solve for x
    x = 956,094.68/1,422.03
  6. Step 6: Final answer
    x = 672.34

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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.