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Finding the Fourth Proportional to 2,175.51, 3,001.08 and 1,291.62

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Solution

The fourth proportional to 2,175.51, 3,001.08 and 1,291.62 is: 1,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.51 : 3,001.08 = 1,291.62 : x
  2. Step 2: Convert to fraction form
    2,175.51/3,001.08 = 1,291.62/x
  3. Step 3: Cross multiply
    2,175.51x = 3,001.08 × 1,291.62
  4. Step 4: Simplify right side
    2,175.51x = 3,876,254.95
  5. Step 5: Solve for x
    x = 3,876,254.95/2,175.51
  6. Step 6: Final answer
    x = 1,781.77

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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.