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Finding the Fourth Proportional to 1,659.36, 2,489.76 and 1,477.20

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Solution

The fourth proportional to 1,659.36, 2,489.76 and 1,477.20 is: 2,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.36 : 2,489.76 = 1,477.20 : x
  2. Step 2: Convert to fraction form
    1,659.36/2,489.76 = 1,477.20/x
  3. Step 3: Cross multiply
    1,659.36x = 2,489.76 × 1,477.20
  4. Step 4: Simplify right side
    1,659.36x = 3,677,873.47
  5. Step 5: Solve for x
    x = 3,677,873.47/1,659.36
  6. Step 6: Final answer
    x = 2,216.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.