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Finding the Fourth Proportional to 1,421.48, 2,131.80 and 447.56

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Solution

The fourth proportional to 1,421.48, 2,131.80 and 447.56 is: 671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.48 : 2,131.80 = 447.56 : x
  2. Step 2: Convert to fraction form
    1,421.48/2,131.80 = 447.56/x
  3. Step 3: Cross multiply
    1,421.48x = 2,131.80 × 447.56
  4. Step 4: Simplify right side
    1,421.48x = 954,108.41
  5. Step 5: Solve for x
    x = 954,108.41/1,421.48
  6. Step 6: Final answer
    x = 671.21

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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.