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Finding the Fourth Proportional to 1,822.40, 2,734.56 and 783.41

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Solution

The fourth proportional to 1,822.40, 2,734.56 and 783.41 is: 1,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.40 : 2,734.56 = 783.41 : x
  2. Step 2: Convert to fraction form
    1,822.40/2,734.56 = 783.41/x
  3. Step 3: Cross multiply
    1,822.40x = 2,734.56 × 783.41
  4. Step 4: Simplify right side
    1,822.40x = 2,142,267.98
  5. Step 5: Solve for x
    x = 2,142,267.98/1,822.40
  6. Step 6: Final answer
    x = 1,175.52

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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.