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Finding the Fourth Proportional to 2,967.84, 4,095.36 and 2,180.52

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Solution

The fourth proportional to 2,967.84, 4,095.36 and 2,180.52 is: 3,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.84 : 4,095.36 = 2,180.52 : x
  2. Step 2: Convert to fraction form
    2,967.84/4,095.36 = 2,180.52/x
  3. Step 3: Cross multiply
    2,967.84x = 4,095.36 × 2,180.52
  4. Step 4: Simplify right side
    2,967.84x = 8,930,014.39
  5. Step 5: Solve for x
    x = 8,930,014.39/2,967.84
  6. Step 6: Final answer
    x = 3,008.93

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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.