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Finding the Fourth Proportional to 1,422.02, 2,132.84 and 448.14

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Solution

The fourth proportional to 1,422.02, 2,132.84 and 448.14 is: 672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.02 : 2,132.84 = 448.14 : x
  2. Step 2: Convert to fraction form
    1,422.02/2,132.84 = 448.14/x
  3. Step 3: Cross multiply
    1,422.02x = 2,132.84 × 448.14
  4. Step 4: Simplify right side
    1,422.02x = 955,810.92
  5. Step 5: Solve for x
    x = 955,810.92/1,422.02
  6. Step 6: Final answer
    x = 672.15

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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.