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Finding the Fourth Proportional to 2,175.45, 3,000.75 and 1,290.63

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Solution

The fourth proportional to 2,175.45, 3,000.75 and 1,290.63 is: 1,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.45 : 3,000.75 = 1,290.63 : x
  2. Step 2: Convert to fraction form
    2,175.45/3,000.75 = 1,290.63/x
  3. Step 3: Cross multiply
    2,175.45x = 3,000.75 × 1,290.63
  4. Step 4: Simplify right side
    2,175.45x = 3,872,846.20
  5. Step 5: Solve for x
    x = 3,872,846.20/2,175.45
  6. Step 6: Final answer
    x = 1,780.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.