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Finding the Fourth Proportional to 3,012, 4,154.65 and 2,171.16

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Solution

The fourth proportional to 3,012, 4,154.65 and 2,171.16 is: 2,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012 : 4,154.65 = 2,171.16 : x
  2. Step 2: Convert to fraction form
    3,012/4,154.65 = 2,171.16/x
  3. Step 3: Cross multiply
    3,012x = 4,154.65 × 2,171.16
  4. Step 4: Simplify right side
    3,012x = 9,020,409.89
  5. Step 5: Solve for x
    x = 9,020,409.89/3,012
  6. Step 6: Final answer
    x = 2,994.82

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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.