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Finding the Fourth Proportional to 3,380.60, 5,066.68 and 1,430.56

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Solution

The fourth proportional to 3,380.60, 5,066.68 and 1,430.56 is: 2,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.60 : 5,066.68 = 1,430.56 : x
  2. Step 2: Convert to fraction form
    3,380.60/5,066.68 = 1,430.56/x
  3. Step 3: Cross multiply
    3,380.60x = 5,066.68 × 1,430.56
  4. Step 4: Simplify right side
    3,380.60x = 7,248,189.74
  5. Step 5: Solve for x
    x = 7,248,189.74/3,380.60
  6. Step 6: Final answer
    x = 2,144.05

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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.