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Finding the Fourth Proportional to 2,631.40, 3,947.09 and 783.16

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Solution

The fourth proportional to 2,631.40, 3,947.09 and 783.16 is: 1,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.40 : 3,947.09 = 783.16 : x
  2. Step 2: Convert to fraction form
    2,631.40/3,947.09 = 783.16/x
  3. Step 3: Cross multiply
    2,631.40x = 3,947.09 × 783.16
  4. Step 4: Simplify right side
    2,631.40x = 3,091,195.09
  5. Step 5: Solve for x
    x = 3,091,195.09/2,631.40
  6. Step 6: Final answer
    x = 1,174.74

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Similar ratio
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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.