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Finding the Fourth Proportional to 3,107.44, 4,661.08 and 916.20

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Solution

The fourth proportional to 3,107.44, 4,661.08 and 916.20 is: 1,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.44 : 4,661.08 = 916.20 : x
  2. Step 2: Convert to fraction form
    3,107.44/4,661.08 = 916.20/x
  3. Step 3: Cross multiply
    3,107.44x = 4,661.08 × 916.20
  4. Step 4: Simplify right side
    3,107.44x = 4,270,481.50
  5. Step 5: Solve for x
    x = 4,270,481.50/3,107.44
  6. Step 6: Final answer
    x = 1,374.28

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Double scale
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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.