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Finding the Fourth Proportional to 2,783.34, 4,175.01 and 1,763.82

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Solution

The fourth proportional to 2,783.34, 4,175.01 and 1,763.82 is: 2,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.34 : 4,175.01 = 1,763.82 : x
  2. Step 2: Convert to fraction form
    2,783.34/4,175.01 = 1,763.82/x
  3. Step 3: Cross multiply
    2,783.34x = 4,175.01 × 1,763.82
  4. Step 4: Simplify right side
    2,783.34x = 7,363,966.14
  5. Step 5: Solve for x
    x = 7,363,966.14/2,783.34
  6. Step 6: Final answer
    x = 2,645.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.