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Finding the Fourth Proportional to 2,055.50, 2,837.03 and 1,309.28

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Solution

The fourth proportional to 2,055.50, 2,837.03 and 1,309.28 is: 1,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.50 : 2,837.03 = 1,309.28 : x
  2. Step 2: Convert to fraction form
    2,055.50/2,837.03 = 1,309.28/x
  3. Step 3: Cross multiply
    2,055.50x = 2,837.03 × 1,309.28
  4. Step 4: Simplify right side
    2,055.50x = 3,714,467.18
  5. Step 5: Solve for x
    x = 3,714,467.18/2,055.50
  6. Step 6: Final answer
    x = 1,807.09

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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.