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Finding the Fourth Proportional to 2,724.01, 4,085.91 and 776.16

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Solution

The fourth proportional to 2,724.01, 4,085.91 and 776.16 is: 1,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.01 : 4,085.91 = 776.16 : x
  2. Step 2: Convert to fraction form
    2,724.01/4,085.91 = 776.16/x
  3. Step 3: Cross multiply
    2,724.01x = 4,085.91 × 776.16
  4. Step 4: Simplify right side
    2,724.01x = 3,171,319.91
  5. Step 5: Solve for x
    x = 3,171,319.91/2,724.01
  6. Step 6: Final answer
    x = 1,164.21

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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.