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Finding the Fourth Proportional to 1,822.52, 2,733.93 and 782.57

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Solution

The fourth proportional to 1,822.52, 2,733.93 and 782.57 is: 1,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.52 : 2,733.93 = 782.57 : x
  2. Step 2: Convert to fraction form
    1,822.52/2,733.93 = 782.57/x
  3. Step 3: Cross multiply
    1,822.52x = 2,733.93 × 782.57
  4. Step 4: Simplify right side
    1,822.52x = 2,139,477.93
  5. Step 5: Solve for x
    x = 2,139,477.93/1,822.52
  6. Step 6: Final answer
    x = 1,173.92

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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.