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Finding the Fourth Proportional to 1,822.59, 2,733.03 and 782.55

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Solution

The fourth proportional to 1,822.59, 2,733.03 and 782.55 is: 1,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.59 : 2,733.03 = 782.55 : x
  2. Step 2: Convert to fraction form
    1,822.59/2,733.03 = 782.55/x
  3. Step 3: Cross multiply
    1,822.59x = 2,733.03 × 782.55
  4. Step 4: Simplify right side
    1,822.59x = 2,138,732.63
  5. Step 5: Solve for x
    x = 2,138,732.63/1,822.59
  6. Step 6: Final answer
    x = 1,173.46

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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.