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Finding the Fourth Proportional to 2,659.64, 3,670.28 and 1,464.60

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Solution

The fourth proportional to 2,659.64, 3,670.28 and 1,464.60 is: 2,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.64 : 3,670.28 = 1,464.60 : x
  2. Step 2: Convert to fraction form
    2,659.64/3,670.28 = 1,464.60/x
  3. Step 3: Cross multiply
    2,659.64x = 3,670.28 × 1,464.60
  4. Step 4: Simplify right side
    2,659.64x = 5,375,495.77
  5. Step 5: Solve for x
    x = 5,375,495.77/2,659.64
  6. Step 6: Final answer
    x = 2,021.13

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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.