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Finding the Fourth Proportional to 1,296.00, 1,942.37 and 1,021

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Solution

The fourth proportional to 1,296.00, 1,942.37 and 1,021 is: 1,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.00 : 1,942.37 = 1,021 : x
  2. Step 2: Convert to fraction form
    1,296.00/1,942.37 = 1,021/x
  3. Step 3: Cross multiply
    1,296.00x = 1,942.37 × 1,021
  4. Step 4: Simplify right side
    1,296.00x = 1,983,159.77
  5. Step 5: Solve for x
    x = 1,983,159.77/1,296.00
  6. Step 6: Final answer
    x = 1,530.22

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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.