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Finding the Fourth Proportional to 3,170.40, 4,748.40 and 1,874.40

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Solution

The fourth proportional to 3,170.40, 4,748.40 and 1,874.40 is: 2,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.40 : 4,748.40 = 1,874.40 : x
  2. Step 2: Convert to fraction form
    3,170.40/4,748.40 = 1,874.40/x
  3. Step 3: Cross multiply
    3,170.40x = 4,748.40 × 1,874.40
  4. Step 4: Simplify right side
    3,170.40x = 8,900,400.96
  5. Step 5: Solve for x
    x = 8,900,400.96/3,170.40
  6. Step 6: Final answer
    x = 2,807.34

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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.