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Finding the Fourth Proportional to 2,905.24, 4,009.02 and 1,646.41

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Solution

The fourth proportional to 2,905.24, 4,009.02 and 1,646.41 is: 2,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.24 : 4,009.02 = 1,646.41 : x
  2. Step 2: Convert to fraction form
    2,905.24/4,009.02 = 1,646.41/x
  3. Step 3: Cross multiply
    2,905.24x = 4,009.02 × 1,646.41
  4. Step 4: Simplify right side
    2,905.24x = 6,600,490.62
  5. Step 5: Solve for x
    x = 6,600,490.62/2,905.24
  6. Step 6: Final answer
    x = 2,271.93

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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.