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Finding the Fourth Proportional to 2,175.84, 3,263.76 and 1,252.80

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Solution

The fourth proportional to 2,175.84, 3,263.76 and 1,252.80 is: 1,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.84 : 3,263.76 = 1,252.80 : x
  2. Step 2: Convert to fraction form
    2,175.84/3,263.76 = 1,252.80/x
  3. Step 3: Cross multiply
    2,175.84x = 3,263.76 × 1,252.80
  4. Step 4: Simplify right side
    2,175.84x = 4,088,838.53
  5. Step 5: Solve for x
    x = 4,088,838.53/2,175.84
  6. Step 6: Final answer
    x = 1,879.20

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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.