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Finding the Fourth Proportional to 3,368.54, 4,646.07 and 2,042.66

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Solution

The fourth proportional to 3,368.54, 4,646.07 and 2,042.66 is: 2,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.54 : 4,646.07 = 2,042.66 : x
  2. Step 2: Convert to fraction form
    3,368.54/4,646.07 = 2,042.66/x
  3. Step 3: Cross multiply
    3,368.54x = 4,646.07 × 2,042.66
  4. Step 4: Simplify right side
    3,368.54x = 9,490,318.12
  5. Step 5: Solve for x
    x = 9,490,318.12/3,368.54
  6. Step 6: Final answer
    x = 2,817.34

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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.