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Finding the Fourth Proportional to 3,368.34, 4,648.56 and 1,952.46

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Solution

The fourth proportional to 3,368.34, 4,648.56 and 1,952.46 is: 2,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.34 : 4,648.56 = 1,952.46 : x
  2. Step 2: Convert to fraction form
    3,368.34/4,648.56 = 1,952.46/x
  3. Step 3: Cross multiply
    3,368.34x = 4,648.56 × 1,952.46
  4. Step 4: Simplify right side
    3,368.34x = 9,076,127.46
  5. Step 5: Solve for x
    x = 9,076,127.46/3,368.34
  6. Step 6: Final answer
    x = 2,694.54

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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.