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Finding the Fourth Proportional to 2,353.64, 3,243.55 and 1,689.35

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Solution

The fourth proportional to 2,353.64, 3,243.55 and 1,689.35 is: 2,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.64 : 3,243.55 = 1,689.35 : x
  2. Step 2: Convert to fraction form
    2,353.64/3,243.55 = 1,689.35/x
  3. Step 3: Cross multiply
    2,353.64x = 3,243.55 × 1,689.35
  4. Step 4: Simplify right side
    2,353.64x = 5,479,491.19
  5. Step 5: Solve for x
    x = 5,479,491.19/2,353.64
  6. Step 6: Final answer
    x = 2,328.09

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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.