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Finding the Fourth Proportional to 1,767.44, 2,651.64 and 534.89

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Solution

The fourth proportional to 1,767.44, 2,651.64 and 534.89 is: 802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.44 : 2,651.64 = 534.89 : x
  2. Step 2: Convert to fraction form
    1,767.44/2,651.64 = 534.89/x
  3. Step 3: Cross multiply
    1,767.44x = 2,651.64 × 534.89
  4. Step 4: Simplify right side
    1,767.44x = 1,418,335.72
  5. Step 5: Solve for x
    x = 1,418,335.72/1,767.44
  6. Step 6: Final answer
    x = 802.48

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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.