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Finding the Fourth Proportional to 3,108.74, 4,290.17 and 1,782.69

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Solution

The fourth proportional to 3,108.74, 4,290.17 and 1,782.69 is: 2,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.74 : 4,290.17 = 1,782.69 : x
  2. Step 2: Convert to fraction form
    3,108.74/4,290.17 = 1,782.69/x
  3. Step 3: Cross multiply
    3,108.74x = 4,290.17 × 1,782.69
  4. Step 4: Simplify right side
    3,108.74x = 7,648,034.24
  5. Step 5: Solve for x
    x = 7,648,034.24/3,108.74
  6. Step 6: Final answer
    x = 2,460.18

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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.