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Finding the Fourth Proportional to 3,044.10, 4,200.86 and 1,646.86

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Solution

The fourth proportional to 3,044.10, 4,200.86 and 1,646.86 is: 2,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.10 : 4,200.86 = 1,646.86 : x
  2. Step 2: Convert to fraction form
    3,044.10/4,200.86 = 1,646.86/x
  3. Step 3: Cross multiply
    3,044.10x = 4,200.86 × 1,646.86
  4. Step 4: Simplify right side
    3,044.10x = 6,918,228.30
  5. Step 5: Solve for x
    x = 6,918,228.30/3,044.10
  6. Step 6: Final answer
    x = 2,272.67

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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.