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Finding the Fourth Proportional to 3,254.64, 4,491.42 and 1,762.58

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Solution

The fourth proportional to 3,254.64, 4,491.42 and 1,762.58 is: 2,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.64 : 4,491.42 = 1,762.58 : x
  2. Step 2: Convert to fraction form
    3,254.64/4,491.42 = 1,762.58/x
  3. Step 3: Cross multiply
    3,254.64x = 4,491.42 × 1,762.58
  4. Step 4: Simplify right side
    3,254.64x = 7,916,478.25
  5. Step 5: Solve for x
    x = 7,916,478.25/3,254.64
  6. Step 6: Final answer
    x = 2,432.37

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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.