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Finding the Fourth Proportional to 3,102.50, 4,655.27 and 1,459.22

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Solution

The fourth proportional to 3,102.50, 4,655.27 and 1,459.22 is: 2,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.50 : 4,655.27 = 1,459.22 : x
  2. Step 2: Convert to fraction form
    3,102.50/4,655.27 = 1,459.22/x
  3. Step 3: Cross multiply
    3,102.50x = 4,655.27 × 1,459.22
  4. Step 4: Simplify right side
    3,102.50x = 6,793,043.46
  5. Step 5: Solve for x
    x = 6,793,043.46/3,102.50
  6. Step 6: Final answer
    x = 2,189.54

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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.