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Finding the Fourth Proportional to 2,491.84, 3,439.05 and 1,610.20

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Solution

The fourth proportional to 2,491.84, 3,439.05 and 1,610.20 is: 2,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.84 : 3,439.05 = 1,610.20 : x
  2. Step 2: Convert to fraction form
    2,491.84/3,439.05 = 1,610.20/x
  3. Step 3: Cross multiply
    2,491.84x = 3,439.05 × 1,610.20
  4. Step 4: Simplify right side
    2,491.84x = 5,537,558.31
  5. Step 5: Solve for x
    x = 5,537,558.31/2,491.84
  6. Step 6: Final answer
    x = 2,222.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.