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Finding the Fourth Proportional to 3,167.68, 4,746.60 and 2,011

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Solution

The fourth proportional to 3,167.68, 4,746.60 and 2,011 is: 3,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.68 : 4,746.60 = 2,011 : x
  2. Step 2: Convert to fraction form
    3,167.68/4,746.60 = 2,011/x
  3. Step 3: Cross multiply
    3,167.68x = 4,746.60 × 2,011
  4. Step 4: Simplify right side
    3,167.68x = 9,545,412.60
  5. Step 5: Solve for x
    x = 9,545,412.60/3,167.68
  6. Step 6: Final answer
    x = 3,013.38

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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.