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Finding the Fourth Proportional to 2,645.36, 3,646.32 and 2,350.16

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Solution

The fourth proportional to 2,645.36, 3,646.32 and 2,350.16 is: 3,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.36 : 3,646.32 = 2,350.16 : x
  2. Step 2: Convert to fraction form
    2,645.36/3,646.32 = 2,350.16/x
  3. Step 3: Cross multiply
    2,645.36x = 3,646.32 × 2,350.16
  4. Step 4: Simplify right side
    2,645.36x = 8,569,435.41
  5. Step 5: Solve for x
    x = 8,569,435.41/2,645.36
  6. Step 6: Final answer
    x = 3,239.42

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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.