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Finding the Fourth Proportional to 1,297.02, 1,935.28 and 1,218.25

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Solution

The fourth proportional to 1,297.02, 1,935.28 and 1,218.25 is: 1,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.02 : 1,935.28 = 1,218.25 : x
  2. Step 2: Convert to fraction form
    1,297.02/1,935.28 = 1,218.25/x
  3. Step 3: Cross multiply
    1,297.02x = 1,935.28 × 1,218.25
  4. Step 4: Simplify right side
    1,297.02x = 2,357,654.86
  5. Step 5: Solve for x
    x = 2,357,654.86/1,297.02
  6. Step 6: Final answer
    x = 1,817.75

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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.