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Finding the Fourth Proportional to 3,416.64, 4,714.56 and 1,924.56

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Solution

The fourth proportional to 3,416.64, 4,714.56 and 1,924.56 is: 2,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.64 : 4,714.56 = 1,924.56 : x
  2. Step 2: Convert to fraction form
    3,416.64/4,714.56 = 1,924.56/x
  3. Step 3: Cross multiply
    3,416.64x = 4,714.56 × 1,924.56
  4. Step 4: Simplify right side
    3,416.64x = 9,073,453.59
  5. Step 5: Solve for x
    x = 9,073,453.59/3,416.64
  6. Step 6: Final answer
    x = 2,655.67

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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.