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Finding the Fourth Proportional to 2,835.10, 4,252.48 and 986.06

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Solution

The fourth proportional to 2,835.10, 4,252.48 and 986.06 is: 1,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.10 : 4,252.48 = 986.06 : x
  2. Step 2: Convert to fraction form
    2,835.10/4,252.48 = 986.06/x
  3. Step 3: Cross multiply
    2,835.10x = 4,252.48 × 986.06
  4. Step 4: Simplify right side
    2,835.10x = 4,193,200.43
  5. Step 5: Solve for x
    x = 4,193,200.43/2,835.10
  6. Step 6: Final answer
    x = 1,479.03

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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.