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Finding the Fourth Proportional to 1,822.79, 2,733.71 and 782.96

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Solution

The fourth proportional to 1,822.79, 2,733.71 and 782.96 is: 1,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.79 : 2,733.71 = 782.96 : x
  2. Step 2: Convert to fraction form
    1,822.79/2,733.71 = 782.96/x
  3. Step 3: Cross multiply
    1,822.79x = 2,733.71 × 782.96
  4. Step 4: Simplify right side
    1,822.79x = 2,140,368.00
  5. Step 5: Solve for x
    x = 2,140,368.00/1,822.79
  6. Step 6: Final answer
    x = 1,174.23

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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.