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Finding the Fourth Proportional to 2,686.35, 4,024.96 and 1,300.33

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Solution

The fourth proportional to 2,686.35, 4,024.96 and 1,300.33 is: 1,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.35 : 4,024.96 = 1,300.33 : x
  2. Step 2: Convert to fraction form
    2,686.35/4,024.96 = 1,300.33/x
  3. Step 3: Cross multiply
    2,686.35x = 4,024.96 × 1,300.33
  4. Step 4: Simplify right side
    2,686.35x = 5,233,776.24
  5. Step 5: Solve for x
    x = 5,233,776.24/2,686.35
  6. Step 6: Final answer
    x = 1,948.29

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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.