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Finding the Fourth Proportional to 2,175.84, 3,261.92 and 1,078.72

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Solution

The fourth proportional to 2,175.84, 3,261.92 and 1,078.72 is: 1,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.84 : 3,261.92 = 1,078.72 : x
  2. Step 2: Convert to fraction form
    2,175.84/3,261.92 = 1,078.72/x
  3. Step 3: Cross multiply
    2,175.84x = 3,261.92 × 1,078.72
  4. Step 4: Simplify right side
    2,175.84x = 3,518,698.34
  5. Step 5: Solve for x
    x = 3,518,698.34/2,175.84
  6. Step 6: Final answer
    x = 1,617.17

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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.