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Finding the Fourth Proportional to 2,646.39, 3,644.31 and 2,477.35

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Solution

The fourth proportional to 2,646.39, 3,644.31 and 2,477.35 is: 3,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.39 : 3,644.31 = 2,477.35 : x
  2. Step 2: Convert to fraction form
    2,646.39/3,644.31 = 2,477.35/x
  3. Step 3: Cross multiply
    2,646.39x = 3,644.31 × 2,477.35
  4. Step 4: Simplify right side
    2,646.39x = 9,028,231.38
  5. Step 5: Solve for x
    x = 9,028,231.38/2,646.39
  6. Step 6: Final answer
    x = 3,411.53

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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.