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Finding the Fourth Proportional to 2,657.34, 3,667.29 and 1,478.40

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Solution

The fourth proportional to 2,657.34, 3,667.29 and 1,478.40 is: 2,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.34 : 3,667.29 = 1,478.40 : x
  2. Step 2: Convert to fraction form
    2,657.34/3,667.29 = 1,478.40/x
  3. Step 3: Cross multiply
    2,657.34x = 3,667.29 × 1,478.40
  4. Step 4: Simplify right side
    2,657.34x = 5,421,721.54
  5. Step 5: Solve for x
    x = 5,421,721.54/2,657.34
  6. Step 6: Final answer
    x = 2,040.28

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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.