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Finding the Fourth Proportional to 3,142.96, 4,707.74 and 1,497.04

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Solution

The fourth proportional to 3,142.96, 4,707.74 and 1,497.04 is: 2,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.96 : 4,707.74 = 1,497.04 : x
  2. Step 2: Convert to fraction form
    3,142.96/4,707.74 = 1,497.04/x
  3. Step 3: Cross multiply
    3,142.96x = 4,707.74 × 1,497.04
  4. Step 4: Simplify right side
    3,142.96x = 7,047,675.09
  5. Step 5: Solve for x
    x = 7,047,675.09/3,142.96
  6. Step 6: Final answer
    x = 2,242.37

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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.