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Finding the Fourth Proportional to 2,534.97, 3,804.15 and 891.53

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Solution

The fourth proportional to 2,534.97, 3,804.15 and 891.53 is: 1,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.97 : 3,804.15 = 891.53 : x
  2. Step 2: Convert to fraction form
    2,534.97/3,804.15 = 891.53/x
  3. Step 3: Cross multiply
    2,534.97x = 3,804.15 × 891.53
  4. Step 4: Simplify right side
    2,534.97x = 3,391,513.85
  5. Step 5: Solve for x
    x = 3,391,513.85/2,534.97
  6. Step 6: Final answer
    x = 1,337.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.