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Finding the Fourth Proportional to 2,659.51, 3,670.28 and 1,480.47

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Solution

The fourth proportional to 2,659.51, 3,670.28 and 1,480.47 is: 2,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.51 : 3,670.28 = 1,480.47 : x
  2. Step 2: Convert to fraction form
    2,659.51/3,670.28 = 1,480.47/x
  3. Step 3: Cross multiply
    2,659.51x = 3,670.28 × 1,480.47
  4. Step 4: Simplify right side
    2,659.51x = 5,433,739.43
  5. Step 5: Solve for x
    x = 5,433,739.43/2,659.51
  6. Step 6: Final answer
    x = 2,043.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.