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Finding the Fourth Proportional to 1,660.54, 2,291.53 and 942.86

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Solution

The fourth proportional to 1,660.54, 2,291.53 and 942.86 is: 1,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.54 : 2,291.53 = 942.86 : x
  2. Step 2: Convert to fraction form
    1,660.54/2,291.53 = 942.86/x
  3. Step 3: Cross multiply
    1,660.54x = 2,291.53 × 942.86
  4. Step 4: Simplify right side
    1,660.54x = 2,160,591.98
  5. Step 5: Solve for x
    x = 2,160,591.98/1,660.54
  6. Step 6: Final answer
    x = 1,301.14

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Why These Related Problems?

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