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Finding the Fourth Proportional to 2,652.32, 3,660.32 and 1,656.84

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Solution

The fourth proportional to 2,652.32, 3,660.32 and 1,656.84 is: 2,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.32 : 3,660.32 = 1,656.84 : x
  2. Step 2: Convert to fraction form
    2,652.32/3,660.32 = 1,656.84/x
  3. Step 3: Cross multiply
    2,652.32x = 3,660.32 × 1,656.84
  4. Step 4: Simplify right side
    2,652.32x = 6,064,564.59
  5. Step 5: Solve for x
    x = 6,064,564.59/2,652.32
  6. Step 6: Final answer
    x = 2,286.51

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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.