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Finding the Fourth Proportional to 3,145.60, 4,343.58 and 2,311

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Solution

The fourth proportional to 3,145.60, 4,343.58 and 2,311 is: 3,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.60 : 4,343.58 = 2,311 : x
  2. Step 2: Convert to fraction form
    3,145.60/4,343.58 = 2,311/x
  3. Step 3: Cross multiply
    3,145.60x = 4,343.58 × 2,311
  4. Step 4: Simplify right side
    3,145.60x = 10,038,013.38
  5. Step 5: Solve for x
    x = 10,038,013.38/3,145.60
  6. Step 6: Final answer
    x = 3,191.13

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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.