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Finding the Fourth Proportional to 3,265.94, 4,899.76 and 1,291.70

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Solution

The fourth proportional to 3,265.94, 4,899.76 and 1,291.70 is: 1,937.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.94 : 4,899.76 = 1,291.70 : x
  2. Step 2: Convert to fraction form
    3,265.94/4,899.76 = 1,291.70/x
  3. Step 3: Cross multiply
    3,265.94x = 4,899.76 × 1,291.70
  4. Step 4: Simplify right side
    3,265.94x = 6,329,029.01
  5. Step 5: Solve for x
    x = 6,329,029.01/3,265.94
  6. Step 6: Final answer
    x = 1,937.89

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