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Finding the Fourth Proportional to 2,309.84, 3,461.76 and 1,760

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Solution

The fourth proportional to 2,309.84, 3,461.76 and 1,760 is: 2,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.84 : 3,461.76 = 1,760 : x
  2. Step 2: Convert to fraction form
    2,309.84/3,461.76 = 1,760/x
  3. Step 3: Cross multiply
    2,309.84x = 3,461.76 × 1,760
  4. Step 4: Simplify right side
    2,309.84x = 6,092,697.60
  5. Step 5: Solve for x
    x = 6,092,697.60/2,309.84
  6. Step 6: Final answer
    x = 2,637.71

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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.