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Finding the Fourth Proportional to 1,783.39, 2,679.85 and 962.26

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Solution

The fourth proportional to 1,783.39, 2,679.85 and 962.26 is: 1,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.39 : 2,679.85 = 962.26 : x
  2. Step 2: Convert to fraction form
    1,783.39/2,679.85 = 962.26/x
  3. Step 3: Cross multiply
    1,783.39x = 2,679.85 × 962.26
  4. Step 4: Simplify right side
    1,783.39x = 2,578,712.46
  5. Step 5: Solve for x
    x = 2,578,712.46/1,783.39
  6. Step 6: Final answer
    x = 1,445.96

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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.