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Finding the Fourth Proportional to 2,657.32, 3,667 and 1,478.37

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Solution

The fourth proportional to 2,657.32, 3,667 and 1,478.37 is: 2,040.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.32 : 3,667 = 1,478.37 : x
  2. Step 2: Convert to fraction form
    2,657.32/3,667 = 1,478.37/x
  3. Step 3: Cross multiply
    2,657.32x = 3,667 × 1,478.37
  4. Step 4: Simplify right side
    2,657.32x = 5,421,182.79
  5. Step 5: Solve for x
    x = 5,421,182.79/2,657.32
  6. Step 6: Final answer
    x = 2,040.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.