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Finding the Fourth Proportional to 1,429.86, 2,145.48 and 736.56

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Solution

The fourth proportional to 1,429.86, 2,145.48 and 736.56 is: 1,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.86 : 2,145.48 = 736.56 : x
  2. Step 2: Convert to fraction form
    1,429.86/2,145.48 = 736.56/x
  3. Step 3: Cross multiply
    1,429.86x = 2,145.48 × 736.56
  4. Step 4: Simplify right side
    1,429.86x = 1,580,274.75
  5. Step 5: Solve for x
    x = 1,580,274.75/1,429.86
  6. Step 6: Final answer
    x = 1,105.20

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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.