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Finding the Fourth Proportional to 1,422.36, 2,133.20 and 448.46

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Solution

The fourth proportional to 1,422.36, 2,133.20 and 448.46 is: 672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.36 : 2,133.20 = 448.46 : x
  2. Step 2: Convert to fraction form
    1,422.36/2,133.20 = 448.46/x
  3. Step 3: Cross multiply
    1,422.36x = 2,133.20 × 448.46
  4. Step 4: Simplify right side
    1,422.36x = 956,641.96
  5. Step 5: Solve for x
    x = 956,641.96/1,422.36
  6. Step 6: Final answer
    x = 672.57

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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.