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Finding the Fourth Proportional to 2,665.36, 3,677.92 and 1,470.34

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Solution

The fourth proportional to 2,665.36, 3,677.92 and 1,470.34 is: 2,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.36 : 3,677.92 = 1,470.34 : x
  2. Step 2: Convert to fraction form
    2,665.36/3,677.92 = 1,470.34/x
  3. Step 3: Cross multiply
    2,665.36x = 3,677.92 × 1,470.34
  4. Step 4: Simplify right side
    2,665.36x = 5,407,792.89
  5. Step 5: Solve for x
    x = 5,407,792.89/2,665.36
  6. Step 6: Final answer
    x = 2,028.92

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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.