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Finding the Fourth Proportional to 1,823.12, 2,734.47 and 782.91

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Solution

The fourth proportional to 1,823.12, 2,734.47 and 782.91 is: 1,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.12 : 2,734.47 = 782.91 : x
  2. Step 2: Convert to fraction form
    1,823.12/2,734.47 = 782.91/x
  3. Step 3: Cross multiply
    1,823.12x = 2,734.47 × 782.91
  4. Step 4: Simplify right side
    1,823.12x = 2,140,843.91
  5. Step 5: Solve for x
    x = 2,140,843.91/1,823.12
  6. Step 6: Final answer
    x = 1,174.28

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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.