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Finding the Fourth Proportional to 1,321.54, 1,980.69 and 1,159.54

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Solution

The fourth proportional to 1,321.54, 1,980.69 and 1,159.54 is: 1,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.54 : 1,980.69 = 1,159.54 : x
  2. Step 2: Convert to fraction form
    1,321.54/1,980.69 = 1,159.54/x
  3. Step 3: Cross multiply
    1,321.54x = 1,980.69 × 1,159.54
  4. Step 4: Simplify right side
    1,321.54x = 2,296,689.28
  5. Step 5: Solve for x
    x = 2,296,689.28/1,321.54
  6. Step 6: Final answer
    x = 1,737.89

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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.