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Finding the Fourth Proportional to 1,407.54, 1,942.20 and 883.74

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Solution

The fourth proportional to 1,407.54, 1,942.20 and 883.74 is: 1,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.54 : 1,942.20 = 883.74 : x
  2. Step 2: Convert to fraction form
    1,407.54/1,942.20 = 883.74/x
  3. Step 3: Cross multiply
    1,407.54x = 1,942.20 × 883.74
  4. Step 4: Simplify right side
    1,407.54x = 1,716,399.83
  5. Step 5: Solve for x
    x = 1,716,399.83/1,407.54
  6. Step 6: Final answer
    x = 1,219.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.