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Finding the Fourth Proportional to 3,145.66, 4,717.50 and 1,065.28

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Solution

The fourth proportional to 3,145.66, 4,717.50 and 1,065.28 is: 1,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.66 : 4,717.50 = 1,065.28 : x
  2. Step 2: Convert to fraction form
    3,145.66/4,717.50 = 1,065.28/x
  3. Step 3: Cross multiply
    3,145.66x = 4,717.50 × 1,065.28
  4. Step 4: Simplify right side
    3,145.66x = 5,025,434.81
  5. Step 5: Solve for x
    x = 5,025,434.81/3,145.66
  6. Step 6: Final answer
    x = 1,597.58

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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.