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Finding the Fourth Proportional to 2,175.56, 3,002.10 and 1,291.58

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Solution

The fourth proportional to 2,175.56, 3,002.10 and 1,291.58 is: 1,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.56 : 3,002.10 = 1,291.58 : x
  2. Step 2: Convert to fraction form
    2,175.56/3,002.10 = 1,291.58/x
  3. Step 3: Cross multiply
    2,175.56x = 3,002.10 × 1,291.58
  4. Step 4: Simplify right side
    2,175.56x = 3,877,452.32
  5. Step 5: Solve for x
    x = 3,877,452.32/2,175.56
  6. Step 6: Final answer
    x = 1,782.28

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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.