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Finding the Fourth Proportional to 2,905.42, 4,009.50 and 1,646.52

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Solution

The fourth proportional to 2,905.42, 4,009.50 and 1,646.52 is: 2,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.42 : 4,009.50 = 1,646.52 : x
  2. Step 2: Convert to fraction form
    2,905.42/4,009.50 = 1,646.52/x
  3. Step 3: Cross multiply
    2,905.42x = 4,009.50 × 1,646.52
  4. Step 4: Simplify right side
    2,905.42x = 6,601,721.94
  5. Step 5: Solve for x
    x = 6,601,721.94/2,905.42
  6. Step 6: Final answer
    x = 2,272.21

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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.