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Finding the Fourth Proportional to 2,659.74, 3,670.36 and 1,464.76

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Solution

The fourth proportional to 2,659.74, 3,670.36 and 1,464.76 is: 2,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.74 : 3,670.36 = 1,464.76 : x
  2. Step 2: Convert to fraction form
    2,659.74/3,670.36 = 1,464.76/x
  3. Step 3: Cross multiply
    2,659.74x = 3,670.36 × 1,464.76
  4. Step 4: Simplify right side
    2,659.74x = 5,376,178.16
  5. Step 5: Solve for x
    x = 5,376,178.16/2,659.74
  6. Step 6: Final answer
    x = 2,021.32

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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.