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Finding the Fourth Proportional to 2,710.75, 3,740.84 and 1,468.75

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Solution

The fourth proportional to 2,710.75, 3,740.84 and 1,468.75 is: 2,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.75 : 3,740.84 = 1,468.75 : x
  2. Step 2: Convert to fraction form
    2,710.75/3,740.84 = 1,468.75/x
  3. Step 3: Cross multiply
    2,710.75x = 3,740.84 × 1,468.75
  4. Step 4: Simplify right side
    2,710.75x = 5,494,358.75
  5. Step 5: Solve for x
    x = 5,494,358.75/2,710.75
  6. Step 6: Final answer
    x = 2,026.88

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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.