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Finding the Fourth Proportional to 2,905.24, 4,009.07 and 1,578.94

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Solution

The fourth proportional to 2,905.24, 4,009.07 and 1,578.94 is: 2,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.24 : 4,009.07 = 1,578.94 : x
  2. Step 2: Convert to fraction form
    2,905.24/4,009.07 = 1,578.94/x
  3. Step 3: Cross multiply
    2,905.24x = 4,009.07 × 1,578.94
  4. Step 4: Simplify right side
    2,905.24x = 6,330,060.94
  5. Step 5: Solve for x
    x = 6,330,060.94/2,905.24
  6. Step 6: Final answer
    x = 2,178.84

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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.