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Finding the Fourth Proportional to 1,349.96, 2,007.80 and 1,322.30

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Solution

The fourth proportional to 1,349.96, 2,007.80 and 1,322.30 is: 1,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.96 : 2,007.80 = 1,322.30 : x
  2. Step 2: Convert to fraction form
    1,349.96/2,007.80 = 1,322.30/x
  3. Step 3: Cross multiply
    1,349.96x = 2,007.80 × 1,322.30
  4. Step 4: Simplify right side
    1,349.96x = 2,654,913.94
  5. Step 5: Solve for x
    x = 2,654,913.94/1,349.96
  6. Step 6: Final answer
    x = 1,966.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.