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Finding the Fourth Proportional to 1,832.07, 2,748.47 and 677.91

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Solution

The fourth proportional to 1,832.07, 2,748.47 and 677.91 is: 1,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.07 : 2,748.47 = 677.91 : x
  2. Step 2: Convert to fraction form
    1,832.07/2,748.47 = 677.91/x
  3. Step 3: Cross multiply
    1,832.07x = 2,748.47 × 677.91
  4. Step 4: Simplify right side
    1,832.07x = 1,863,211.91
  5. Step 5: Solve for x
    x = 1,863,211.91/1,832.07
  6. Step 6: Final answer
    x = 1,017.00

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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.