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Finding the Fourth Proportional to 2,878.80, 3,970.64 and 1,882.48

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Solution

The fourth proportional to 2,878.80, 3,970.64 and 1,882.48 is: 2,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.80 : 3,970.64 = 1,882.48 : x
  2. Step 2: Convert to fraction form
    2,878.80/3,970.64 = 1,882.48/x
  3. Step 3: Cross multiply
    2,878.80x = 3,970.64 × 1,882.48
  4. Step 4: Simplify right side
    2,878.80x = 7,474,650.39
  5. Step 5: Solve for x
    x = 7,474,650.39/2,878.80
  6. Step 6: Final answer
    x = 2,596.45

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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.