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Finding the Fourth Proportional to 3,175.51, 4,381.65 and 1,830.82

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Solution

The fourth proportional to 3,175.51, 4,381.65 and 1,830.82 is: 2,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.51 : 4,381.65 = 1,830.82 : x
  2. Step 2: Convert to fraction form
    3,175.51/4,381.65 = 1,830.82/x
  3. Step 3: Cross multiply
    3,175.51x = 4,381.65 × 1,830.82
  4. Step 4: Simplify right side
    3,175.51x = 8,022,012.45
  5. Step 5: Solve for x
    x = 8,022,012.45/3,175.51
  6. Step 6: Final answer
    x = 2,526.21

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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.