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Finding the Fourth Proportional to 3,145.62, 4,717.81 and 953.76

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Solution

The fourth proportional to 3,145.62, 4,717.81 and 953.76 is: 1,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.62 : 4,717.81 = 953.76 : x
  2. Step 2: Convert to fraction form
    3,145.62/4,717.81 = 953.76/x
  3. Step 3: Cross multiply
    3,145.62x = 4,717.81 × 953.76
  4. Step 4: Simplify right side
    3,145.62x = 4,499,658.47
  5. Step 5: Solve for x
    x = 4,499,658.47/3,145.62
  6. Step 6: Final answer
    x = 1,430.45

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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.