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Finding the Fourth Proportional to 3,186.10, 4,779.29 and 994.87

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Solution

The fourth proportional to 3,186.10, 4,779.29 and 994.87 is: 1,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.10 : 4,779.29 = 994.87 : x
  2. Step 2: Convert to fraction form
    3,186.10/4,779.29 = 994.87/x
  3. Step 3: Cross multiply
    3,186.10x = 4,779.29 × 994.87
  4. Step 4: Simplify right side
    3,186.10x = 4,754,772.24
  5. Step 5: Solve for x
    x = 4,754,772.24/3,186.10
  6. Step 6: Final answer
    x = 1,492.35

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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.