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Finding the Fourth Proportional to 2,113.40, 3,165.46 and 1,370.40

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Solution

The fourth proportional to 2,113.40, 3,165.46 and 1,370.40 is: 2,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.40 : 3,165.46 = 1,370.40 : x
  2. Step 2: Convert to fraction form
    2,113.40/3,165.46 = 1,370.40/x
  3. Step 3: Cross multiply
    2,113.40x = 3,165.46 × 1,370.40
  4. Step 4: Simplify right side
    2,113.40x = 4,337,946.38
  5. Step 5: Solve for x
    x = 4,337,946.38/2,113.40
  6. Step 6: Final answer
    x = 2,052.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.