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Finding the Fourth Proportional to 3,145.86, 4,717.31 and 954.14

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Solution

The fourth proportional to 3,145.86, 4,717.31 and 954.14 is: 1,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.86 : 4,717.31 = 954.14 : x
  2. Step 2: Convert to fraction form
    3,145.86/4,717.31 = 954.14/x
  3. Step 3: Cross multiply
    3,145.86x = 4,717.31 × 954.14
  4. Step 4: Simplify right side
    3,145.86x = 4,500,945.81
  5. Step 5: Solve for x
    x = 4,500,945.81/3,145.86
  6. Step 6: Final answer
    x = 1,430.75

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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.