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Finding the Fourth Proportional to 4,102.60, 6,154.80 and 1,328.80

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Solution

The fourth proportional to 4,102.60, 6,154.80 and 1,328.80 is: 1,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.60 : 6,154.80 = 1,328.80 : x
  2. Step 2: Convert to fraction form
    4,102.60/6,154.80 = 1,328.80/x
  3. Step 3: Cross multiply
    4,102.60x = 6,154.80 × 1,328.80
  4. Step 4: Simplify right side
    4,102.60x = 8,178,498.24
  5. Step 5: Solve for x
    x = 8,178,498.24/4,102.60
  6. Step 6: Final answer
    x = 1,993.49

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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.