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Finding the Fourth Proportional to 3,174.84, 4,762.70 and 1,325.53

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Solution

The fourth proportional to 3,174.84, 4,762.70 and 1,325.53 is: 1,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.84 : 4,762.70 = 1,325.53 : x
  2. Step 2: Convert to fraction form
    3,174.84/4,762.70 = 1,325.53/x
  3. Step 3: Cross multiply
    3,174.84x = 4,762.70 × 1,325.53
  4. Step 4: Simplify right side
    3,174.84x = 6,313,101.73
  5. Step 5: Solve for x
    x = 6,313,101.73/3,174.84
  6. Step 6: Final answer
    x = 1,988.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.