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Finding the Fourth Proportional to 1,420.26, 2,130.39 and 446.45

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Solution

The fourth proportional to 1,420.26, 2,130.39 and 446.45 is: 669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.26 : 2,130.39 = 446.45 : x
  2. Step 2: Convert to fraction form
    1,420.26/2,130.39 = 446.45/x
  3. Step 3: Cross multiply
    1,420.26x = 2,130.39 × 446.45
  4. Step 4: Simplify right side
    1,420.26x = 951,101.96
  5. Step 5: Solve for x
    x = 951,101.96/1,420.26
  6. Step 6: Final answer
    x = 669.67

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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.