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Finding the Fourth Proportional to 3,108.66, 4,289.76 and 1,782.06

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Solution

The fourth proportional to 3,108.66, 4,289.76 and 1,782.06 is: 2,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.66 : 4,289.76 = 1,782.06 : x
  2. Step 2: Convert to fraction form
    3,108.66/4,289.76 = 1,782.06/x
  3. Step 3: Cross multiply
    3,108.66x = 4,289.76 × 1,782.06
  4. Step 4: Simplify right side
    3,108.66x = 7,644,609.71
  5. Step 5: Solve for x
    x = 7,644,609.71/3,108.66
  6. Step 6: Final answer
    x = 2,459.13

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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.