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Finding the Fourth Proportional to 2,175.17, 3,261.38 and 788.48

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Solution

The fourth proportional to 2,175.17, 3,261.38 and 788.48 is: 1,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.17 : 3,261.38 = 788.48 : x
  2. Step 2: Convert to fraction form
    2,175.17/3,261.38 = 788.48/x
  3. Step 3: Cross multiply
    2,175.17x = 3,261.38 × 788.48
  4. Step 4: Simplify right side
    2,175.17x = 2,571,547.66
  5. Step 5: Solve for x
    x = 2,571,547.66/2,175.17
  6. Step 6: Final answer
    x = 1,182.23

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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.