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Finding the Fourth Proportional to 2,607.75, 3,594.33 and 1,978.07

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Solution

The fourth proportional to 2,607.75, 3,594.33 and 1,978.07 is: 2,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.75 : 3,594.33 = 1,978.07 : x
  2. Step 2: Convert to fraction form
    2,607.75/3,594.33 = 1,978.07/x
  3. Step 3: Cross multiply
    2,607.75x = 3,594.33 × 1,978.07
  4. Step 4: Simplify right side
    2,607.75x = 7,109,818.37
  5. Step 5: Solve for x
    x = 7,109,818.37/2,607.75
  6. Step 6: Final answer
    x = 2,726.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.