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Finding the Fourth Proportional to 2,482.92, 3,426.84 and 1,892.34

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Solution

The fourth proportional to 2,482.92, 3,426.84 and 1,892.34 is: 2,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.92 : 3,426.84 = 1,892.34 : x
  2. Step 2: Convert to fraction form
    2,482.92/3,426.84 = 1,892.34/x
  3. Step 3: Cross multiply
    2,482.92x = 3,426.84 × 1,892.34
  4. Step 4: Simplify right side
    2,482.92x = 6,484,746.41
  5. Step 5: Solve for x
    x = 6,484,746.41/2,482.92
  6. Step 6: Final answer
    x = 2,611.74

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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.