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Finding the Fourth Proportional to 2,113.32, 3,169.29 and 1,017

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Solution

The fourth proportional to 2,113.32, 3,169.29 and 1,017 is: 1,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.32 : 3,169.29 = 1,017 : x
  2. Step 2: Convert to fraction form
    2,113.32/3,169.29 = 1,017/x
  3. Step 3: Cross multiply
    2,113.32x = 3,169.29 × 1,017
  4. Step 4: Simplify right side
    2,113.32x = 3,223,167.93
  5. Step 5: Solve for x
    x = 3,223,167.93/2,113.32
  6. Step 6: Final answer
    x = 1,525.17

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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.