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Finding the Fourth Proportional to 1,463.67, 2,014.47 and 1,398.06

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Solution

The fourth proportional to 1,463.67, 2,014.47 and 1,398.06 is: 1,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.67 : 2,014.47 = 1,398.06 : x
  2. Step 2: Convert to fraction form
    1,463.67/2,014.47 = 1,398.06/x
  3. Step 3: Cross multiply
    1,463.67x = 2,014.47 × 1,398.06
  4. Step 4: Simplify right side
    1,463.67x = 2,816,349.93
  5. Step 5: Solve for x
    x = 2,816,349.93/1,463.67
  6. Step 6: Final answer
    x = 1,924.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.