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Finding the Fourth Proportional to 2,701.63, 3,728.25 and 1,459.63

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Solution

The fourth proportional to 2,701.63, 3,728.25 and 1,459.63 is: 2,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.63 : 3,728.25 = 1,459.63 : x
  2. Step 2: Convert to fraction form
    2,701.63/3,728.25 = 1,459.63/x
  3. Step 3: Cross multiply
    2,701.63x = 3,728.25 × 1,459.63
  4. Step 4: Simplify right side
    2,701.63x = 5,441,865.55
  5. Step 5: Solve for x
    x = 5,441,865.55/2,701.63
  6. Step 6: Final answer
    x = 2,014.29

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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.