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Finding the Fourth Proportional to 1,497.84, 2,231.39 and 1,459.68

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Solution

The fourth proportional to 1,497.84, 2,231.39 and 1,459.68 is: 2,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.84 : 2,231.39 = 1,459.68 : x
  2. Step 2: Convert to fraction form
    1,497.84/2,231.39 = 1,459.68/x
  3. Step 3: Cross multiply
    1,497.84x = 2,231.39 × 1,459.68
  4. Step 4: Simplify right side
    1,497.84x = 3,257,115.36
  5. Step 5: Solve for x
    x = 3,257,115.36/1,497.84
  6. Step 6: Final answer
    x = 2,174.54

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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.