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Finding the Fourth Proportional to 3,174.24, 4,762.08 and 1,532.17

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Solution

The fourth proportional to 3,174.24, 4,762.08 and 1,532.17 is: 2,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.24 : 4,762.08 = 1,532.17 : x
  2. Step 2: Convert to fraction form
    3,174.24/4,762.08 = 1,532.17/x
  3. Step 3: Cross multiply
    3,174.24x = 4,762.08 × 1,532.17
  4. Step 4: Simplify right side
    3,174.24x = 7,296,316.11
  5. Step 5: Solve for x
    x = 7,296,316.11/3,174.24
  6. Step 6: Final answer
    x = 2,298.60

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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.