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Finding the Fourth Proportional to 1,422.08, 2,133.16 and 448.26

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Solution

The fourth proportional to 1,422.08, 2,133.16 and 448.26 is: 672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.08 : 2,133.16 = 448.26 : x
  2. Step 2: Convert to fraction form
    1,422.08/2,133.16 = 448.26/x
  3. Step 3: Cross multiply
    1,422.08x = 2,133.16 × 448.26
  4. Step 4: Simplify right side
    1,422.08x = 956,210.30
  5. Step 5: Solve for x
    x = 956,210.30/1,422.08
  6. Step 6: Final answer
    x = 672.40

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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.