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Finding the Fourth Proportional to 2,554.64, 3,832.05 and 994.76

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Solution

The fourth proportional to 2,554.64, 3,832.05 and 994.76 is: 1,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.64 : 3,832.05 = 994.76 : x
  2. Step 2: Convert to fraction form
    2,554.64/3,832.05 = 994.76/x
  3. Step 3: Cross multiply
    2,554.64x = 3,832.05 × 994.76
  4. Step 4: Simplify right side
    2,554.64x = 3,811,970.06
  5. Step 5: Solve for x
    x = 3,811,970.06/2,554.64
  6. Step 6: Final answer
    x = 1,492.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.