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Finding the Fourth Proportional to 2,977.01, 4,108.12 and 1,632.59

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Solution

The fourth proportional to 2,977.01, 4,108.12 and 1,632.59 is: 2,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.01 : 4,108.12 = 1,632.59 : x
  2. Step 2: Convert to fraction form
    2,977.01/4,108.12 = 1,632.59/x
  3. Step 3: Cross multiply
    2,977.01x = 4,108.12 × 1,632.59
  4. Step 4: Simplify right side
    2,977.01x = 6,706,855.09
  5. Step 5: Solve for x
    x = 6,706,855.09/2,977.01
  6. Step 6: Final answer
    x = 2,252.89

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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.