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Finding the Fourth Proportional to 2,657.16, 3,667.64 and 1,538.85

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Solution

The fourth proportional to 2,657.16, 3,667.64 and 1,538.85 is: 2,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.16 : 3,667.64 = 1,538.85 : x
  2. Step 2: Convert to fraction form
    2,657.16/3,667.64 = 1,538.85/x
  3. Step 3: Cross multiply
    2,657.16x = 3,667.64 × 1,538.85
  4. Step 4: Simplify right side
    2,657.16x = 5,643,947.81
  5. Step 5: Solve for x
    x = 5,643,947.81/2,657.16
  6. Step 6: Final answer
    x = 2,124.05

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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.