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Finding the Fourth Proportional to 3,386.88, 4,674.56 and 2,144

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Solution

The fourth proportional to 3,386.88, 4,674.56 and 2,144 is: 2,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.88 : 4,674.56 = 2,144 : x
  2. Step 2: Convert to fraction form
    3,386.88/4,674.56 = 2,144/x
  3. Step 3: Cross multiply
    3,386.88x = 4,674.56 × 2,144
  4. Step 4: Simplify right side
    3,386.88x = 10,022,256.64
  5. Step 5: Solve for x
    x = 10,022,256.64/3,386.88
  6. Step 6: Final answer
    x = 2,959.14

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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.