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Finding the Fourth Proportional to 3,011.53, 4,155.88 and 1,667.14

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Solution

The fourth proportional to 3,011.53, 4,155.88 and 1,667.14 is: 2,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.53 : 4,155.88 = 1,667.14 : x
  2. Step 2: Convert to fraction form
    3,011.53/4,155.88 = 1,667.14/x
  3. Step 3: Cross multiply
    3,011.53x = 4,155.88 × 1,667.14
  4. Step 4: Simplify right side
    3,011.53x = 6,928,419.23
  5. Step 5: Solve for x
    x = 6,928,419.23/3,011.53
  6. Step 6: Final answer
    x = 2,300.63

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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.