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Finding the Fourth Proportional to 2,394.74, 3,304.72 and 1,347

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Solution

The fourth proportional to 2,394.74, 3,304.72 and 1,347 is: 1,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.74 : 3,304.72 = 1,347 : x
  2. Step 2: Convert to fraction form
    2,394.74/3,304.72 = 1,347/x
  3. Step 3: Cross multiply
    2,394.74x = 3,304.72 × 1,347
  4. Step 4: Simplify right side
    2,394.74x = 4,451,457.84
  5. Step 5: Solve for x
    x = 4,451,457.84/2,394.74
  6. Step 6: Final answer
    x = 1,858.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.