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Finding the Fourth Proportional to 2,175.84, 3,003.17 and 1,292.15

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Solution

The fourth proportional to 2,175.84, 3,003.17 and 1,292.15 is: 1,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.84 : 3,003.17 = 1,292.15 : x
  2. Step 2: Convert to fraction form
    2,175.84/3,003.17 = 1,292.15/x
  3. Step 3: Cross multiply
    2,175.84x = 3,003.17 × 1,292.15
  4. Step 4: Simplify right side
    2,175.84x = 3,880,546.12
  5. Step 5: Solve for x
    x = 3,880,546.12/2,175.84
  6. Step 6: Final answer
    x = 1,783.47

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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.