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Finding the Fourth Proportional to 2,880.84, 3,976.08 and 1,685.94

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Solution

The fourth proportional to 2,880.84, 3,976.08 and 1,685.94 is: 2,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.84 : 3,976.08 = 1,685.94 : x
  2. Step 2: Convert to fraction form
    2,880.84/3,976.08 = 1,685.94/x
  3. Step 3: Cross multiply
    2,880.84x = 3,976.08 × 1,685.94
  4. Step 4: Simplify right side
    2,880.84x = 6,703,432.32
  5. Step 5: Solve for x
    x = 6,703,432.32/2,880.84
  6. Step 6: Final answer
    x = 2,326.90

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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.