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Finding the Fourth Proportional to 2,170.98, 2,994.84 and 1,384.20

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Solution

The fourth proportional to 2,170.98, 2,994.84 and 1,384.20 is: 1,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.98 : 2,994.84 = 1,384.20 : x
  2. Step 2: Convert to fraction form
    2,170.98/2,994.84 = 1,384.20/x
  3. Step 3: Cross multiply
    2,170.98x = 2,994.84 × 1,384.20
  4. Step 4: Simplify right side
    2,170.98x = 4,145,457.53
  5. Step 5: Solve for x
    x = 4,145,457.53/2,170.98
  6. Step 6: Final answer
    x = 1,909.49

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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.