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Finding the Fourth Proportional to 1,310.42, 1,796.66 and 1,287.02

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Solution

The fourth proportional to 1,310.42, 1,796.66 and 1,287.02 is: 1,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.42 : 1,796.66 = 1,287.02 : x
  2. Step 2: Convert to fraction form
    1,310.42/1,796.66 = 1,287.02/x
  3. Step 3: Cross multiply
    1,310.42x = 1,796.66 × 1,287.02
  4. Step 4: Simplify right side
    1,310.42x = 2,312,337.35
  5. Step 5: Solve for x
    x = 2,312,337.35/1,310.42
  6. Step 6: Final answer
    x = 1,764.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.