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Finding the Fourth Proportional to 2,686.51, 4,028.30 and 837.13

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Solution

The fourth proportional to 2,686.51, 4,028.30 and 837.13 is: 1,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.51 : 4,028.30 = 837.13 : x
  2. Step 2: Convert to fraction form
    2,686.51/4,028.30 = 837.13/x
  3. Step 3: Cross multiply
    2,686.51x = 4,028.30 × 837.13
  4. Step 4: Simplify right side
    2,686.51x = 3,372,210.78
  5. Step 5: Solve for x
    x = 3,372,210.78/2,686.51
  6. Step 6: Final answer
    x = 1,255.24

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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.