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Finding the Fourth Proportional to 2,584.16, 3,876.24 and 760.16

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Solution

The fourth proportional to 2,584.16, 3,876.24 and 760.16 is: 1,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.16 : 3,876.24 = 760.16 : x
  2. Step 2: Convert to fraction form
    2,584.16/3,876.24 = 760.16/x
  3. Step 3: Cross multiply
    2,584.16x = 3,876.24 × 760.16
  4. Step 4: Simplify right side
    2,584.16x = 2,946,549.11
  5. Step 5: Solve for x
    x = 2,946,549.11/2,584.16
  6. Step 6: Final answer
    x = 1,140.24

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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.