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Finding the Fourth Proportional to 1,429.68, 2,145.60 and 942.56

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Solution

The fourth proportional to 1,429.68, 2,145.60 and 942.56 is: 1,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.68 : 2,145.60 = 942.56 : x
  2. Step 2: Convert to fraction form
    1,429.68/2,145.60 = 942.56/x
  3. Step 3: Cross multiply
    1,429.68x = 2,145.60 × 942.56
  4. Step 4: Simplify right side
    1,429.68x = 2,022,356.74
  5. Step 5: Solve for x
    x = 2,022,356.74/1,429.68
  6. Step 6: Final answer
    x = 1,414.55

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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.