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Finding the Fourth Proportional to 2,376.88, 3,276.80 and 2,048.80

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Solution

The fourth proportional to 2,376.88, 3,276.80 and 2,048.80 is: 2,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.88 : 3,276.80 = 2,048.80 : x
  2. Step 2: Convert to fraction form
    2,376.88/3,276.80 = 2,048.80/x
  3. Step 3: Cross multiply
    2,376.88x = 3,276.80 × 2,048.80
  4. Step 4: Simplify right side
    2,376.88x = 6,713,507.84
  5. Step 5: Solve for x
    x = 6,713,507.84/2,376.88
  6. Step 6: Final answer
    x = 2,824.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.