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Finding the Fourth Proportional to 2,508.46, 3,762.08 and 1,047.62

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Solution

The fourth proportional to 2,508.46, 3,762.08 and 1,047.62 is: 1,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.46 : 3,762.08 = 1,047.62 : x
  2. Step 2: Convert to fraction form
    2,508.46/3,762.08 = 1,047.62/x
  3. Step 3: Cross multiply
    2,508.46x = 3,762.08 × 1,047.62
  4. Step 4: Simplify right side
    2,508.46x = 3,941,230.25
  5. Step 5: Solve for x
    x = 3,941,230.25/2,508.46
  6. Step 6: Final answer
    x = 1,571.18

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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.