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Finding the Fourth Proportional to 3,291.84, 4,937.91 and 1,829.89

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Solution

The fourth proportional to 3,291.84, 4,937.91 and 1,829.89 is: 2,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.84 : 4,937.91 = 1,829.89 : x
  2. Step 2: Convert to fraction form
    3,291.84/4,937.91 = 1,829.89/x
  3. Step 3: Cross multiply
    3,291.84x = 4,937.91 × 1,829.89
  4. Step 4: Simplify right side
    3,291.84x = 9,035,798.29
  5. Step 5: Solve for x
    x = 9,035,798.29/3,291.84
  6. Step 6: Final answer
    x = 2,744.91

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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.