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Finding the Fourth Proportional to 2,905.33, 4,008.47 and 1,646.19

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Solution

The fourth proportional to 2,905.33, 4,008.47 and 1,646.19 is: 2,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.33 : 4,008.47 = 1,646.19 : x
  2. Step 2: Convert to fraction form
    2,905.33/4,008.47 = 1,646.19/x
  3. Step 3: Cross multiply
    2,905.33x = 4,008.47 × 1,646.19
  4. Step 4: Simplify right side
    2,905.33x = 6,598,703.23
  5. Step 5: Solve for x
    x = 6,598,703.23/2,905.33
  6. Step 6: Final answer
    x = 2,271.24

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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.