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Finding the Fourth Proportional to 3,072.60, 4,240.08 and 1,746.60

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Solution

The fourth proportional to 3,072.60, 4,240.08 and 1,746.60 is: 2,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.60 : 4,240.08 = 1,746.60 : x
  2. Step 2: Convert to fraction form
    3,072.60/4,240.08 = 1,746.60/x
  3. Step 3: Cross multiply
    3,072.60x = 4,240.08 × 1,746.60
  4. Step 4: Simplify right side
    3,072.60x = 7,405,723.73
  5. Step 5: Solve for x
    x = 7,405,723.73/3,072.60
  6. Step 6: Final answer
    x = 2,410.25

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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.