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Finding the Fourth Proportional to 3,146.99, 4,717.17 and 1,065.02

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Solution

The fourth proportional to 3,146.99, 4,717.17 and 1,065.02 is: 1,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.99 : 4,717.17 = 1,065.02 : x
  2. Step 2: Convert to fraction form
    3,146.99/4,717.17 = 1,065.02/x
  3. Step 3: Cross multiply
    3,146.99x = 4,717.17 × 1,065.02
  4. Step 4: Simplify right side
    3,146.99x = 5,023,856.81
  5. Step 5: Solve for x
    x = 5,023,856.81/3,146.99
  6. Step 6: Final answer
    x = 1,596.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.