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Finding the Fourth Proportional to 1,419.21, 2,127.98 and 431.73

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Solution

The fourth proportional to 1,419.21, 2,127.98 and 431.73 is: 647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.21 : 2,127.98 = 431.73 : x
  2. Step 2: Convert to fraction form
    1,419.21/2,127.98 = 431.73/x
  3. Step 3: Cross multiply
    1,419.21x = 2,127.98 × 431.73
  4. Step 4: Simplify right side
    1,419.21x = 918,712.81
  5. Step 5: Solve for x
    x = 918,712.81/1,419.21
  6. Step 6: Final answer
    x = 647.34

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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.