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Finding the Fourth Proportional to 3,014.70, 4,523.58 and 1,475.70

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Solution

The fourth proportional to 3,014.70, 4,523.58 and 1,475.70 is: 2,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.70 : 4,523.58 = 1,475.70 : x
  2. Step 2: Convert to fraction form
    3,014.70/4,523.58 = 1,475.70/x
  3. Step 3: Cross multiply
    3,014.70x = 4,523.58 × 1,475.70
  4. Step 4: Simplify right side
    3,014.70x = 6,675,447.01
  5. Step 5: Solve for x
    x = 6,675,447.01/3,014.70
  6. Step 6: Final answer
    x = 2,214.30

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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.