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Finding the Fourth Proportional to 2,725.06, 3,760.02 and 1,782.24

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Solution

The fourth proportional to 2,725.06, 3,760.02 and 1,782.24 is: 2,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.06 : 3,760.02 = 1,782.24 : x
  2. Step 2: Convert to fraction form
    2,725.06/3,760.02 = 1,782.24/x
  3. Step 3: Cross multiply
    2,725.06x = 3,760.02 × 1,782.24
  4. Step 4: Simplify right side
    2,725.06x = 6,701,258.04
  5. Step 5: Solve for x
    x = 6,701,258.04/2,725.06
  6. Step 6: Final answer
    x = 2,459.12

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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.