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Finding the Fourth Proportional to 1,663.36, 2,489.92 and 1,386.88

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Solution

The fourth proportional to 1,663.36, 2,489.92 and 1,386.88 is: 2,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.36 : 2,489.92 = 1,386.88 : x
  2. Step 2: Convert to fraction form
    1,663.36/2,489.92 = 1,386.88/x
  3. Step 3: Cross multiply
    1,663.36x = 2,489.92 × 1,386.88
  4. Step 4: Simplify right side
    1,663.36x = 3,453,220.25
  5. Step 5: Solve for x
    x = 3,453,220.25/1,663.36
  6. Step 6: Final answer
    x = 2,076.05

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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.