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Finding the Fourth Proportional to 2,475.08, 3,714.06 and 936.20

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Solution

The fourth proportional to 2,475.08, 3,714.06 and 936.20 is: 1,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.08 : 3,714.06 = 936.20 : x
  2. Step 2: Convert to fraction form
    2,475.08/3,714.06 = 936.20/x
  3. Step 3: Cross multiply
    2,475.08x = 3,714.06 × 936.20
  4. Step 4: Simplify right side
    2,475.08x = 3,477,102.97
  5. Step 5: Solve for x
    x = 3,477,102.97/2,475.08
  6. Step 6: Final answer
    x = 1,404.84

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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.