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Finding the Fourth Proportional to 2,074.84, 2,859.54 and 1,682.80

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Solution

The fourth proportional to 2,074.84, 2,859.54 and 1,682.80 is: 2,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.84 : 2,859.54 = 1,682.80 : x
  2. Step 2: Convert to fraction form
    2,074.84/2,859.54 = 1,682.80/x
  3. Step 3: Cross multiply
    2,074.84x = 2,859.54 × 1,682.80
  4. Step 4: Simplify right side
    2,074.84x = 4,812,033.91
  5. Step 5: Solve for x
    x = 4,812,033.91/2,074.84
  6. Step 6: Final answer
    x = 2,319.23

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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.