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Finding the Fourth Proportional to 2,657.30, 3,667.41 and 1,478.90

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Solution

The fourth proportional to 2,657.30, 3,667.41 and 1,478.90 is: 2,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.30 : 3,667.41 = 1,478.90 : x
  2. Step 2: Convert to fraction form
    2,657.30/3,667.41 = 1,478.90/x
  3. Step 3: Cross multiply
    2,657.30x = 3,667.41 × 1,478.90
  4. Step 4: Simplify right side
    2,657.30x = 5,423,732.65
  5. Step 5: Solve for x
    x = 5,423,732.65/2,657.30
  6. Step 6: Final answer
    x = 2,041.07

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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.