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Finding the Fourth Proportional to 2,562.66, 3,536.46 and 1,443.63

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Solution

The fourth proportional to 2,562.66, 3,536.46 and 1,443.63 is: 1,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.66 : 3,536.46 = 1,443.63 : x
  2. Step 2: Convert to fraction form
    2,562.66/3,536.46 = 1,443.63/x
  3. Step 3: Cross multiply
    2,562.66x = 3,536.46 × 1,443.63
  4. Step 4: Simplify right side
    2,562.66x = 5,105,339.75
  5. Step 5: Solve for x
    x = 5,105,339.75/2,562.66
  6. Step 6: Final answer
    x = 1,992.20

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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.