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Finding the Fourth Proportional to 1,774.34, 2,450.07 and 1,304.86

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Solution

The fourth proportional to 1,774.34, 2,450.07 and 1,304.86 is: 1,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.34 : 2,450.07 = 1,304.86 : x
  2. Step 2: Convert to fraction form
    1,774.34/2,450.07 = 1,304.86/x
  3. Step 3: Cross multiply
    1,774.34x = 2,450.07 × 1,304.86
  4. Step 4: Simplify right side
    1,774.34x = 3,196,998.34
  5. Step 5: Solve for x
    x = 3,196,998.34/1,774.34
  6. Step 6: Final answer
    x = 1,801.80

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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.