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Finding the Fourth Proportional to 2,321.77, 3,483.51 and 1,089.58

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Solution

The fourth proportional to 2,321.77, 3,483.51 and 1,089.58 is: 1,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.77 : 3,483.51 = 1,089.58 : x
  2. Step 2: Convert to fraction form
    2,321.77/3,483.51 = 1,089.58/x
  3. Step 3: Cross multiply
    2,321.77x = 3,483.51 × 1,089.58
  4. Step 4: Simplify right side
    2,321.77x = 3,795,562.83
  5. Step 5: Solve for x
    x = 3,795,562.83/2,321.77
  6. Step 6: Final answer
    x = 1,634.77

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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.