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Finding the Fourth Proportional to 2,660.32, 3,670.56 and 1,612.36

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Solution

The fourth proportional to 2,660.32, 3,670.56 and 1,612.36 is: 2,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.32 : 3,670.56 = 1,612.36 : x
  2. Step 2: Convert to fraction form
    2,660.32/3,670.56 = 1,612.36/x
  3. Step 3: Cross multiply
    2,660.32x = 3,670.56 × 1,612.36
  4. Step 4: Simplify right side
    2,660.32x = 5,918,264.12
  5. Step 5: Solve for x
    x = 5,918,264.12/2,660.32
  6. Step 6: Final answer
    x = 2,224.64

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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.