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Finding the Fourth Proportional to 1,768.96, 2,654.86 and 947.82

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Solution

The fourth proportional to 1,768.96, 2,654.86 and 947.82 is: 1,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.96 : 2,654.86 = 947.82 : x
  2. Step 2: Convert to fraction form
    1,768.96/2,654.86 = 947.82/x
  3. Step 3: Cross multiply
    1,768.96x = 2,654.86 × 947.82
  4. Step 4: Simplify right side
    1,768.96x = 2,516,329.41
  5. Step 5: Solve for x
    x = 2,516,329.41/1,768.96
  6. Step 6: Final answer
    x = 1,422.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.