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Finding the Fourth Proportional to 2,713.16, 3,740.46 and 1,717.94

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Solution

The fourth proportional to 2,713.16, 3,740.46 and 1,717.94 is: 2,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.16 : 3,740.46 = 1,717.94 : x
  2. Step 2: Convert to fraction form
    2,713.16/3,740.46 = 1,717.94/x
  3. Step 3: Cross multiply
    2,713.16x = 3,740.46 × 1,717.94
  4. Step 4: Simplify right side
    2,713.16x = 6,425,885.85
  5. Step 5: Solve for x
    x = 6,425,885.85/2,713.16
  6. Step 6: Final answer
    x = 2,368.41

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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.