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Finding the Fourth Proportional to 2,143.45, 3,210.53 and 1,031.16

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Solution

The fourth proportional to 2,143.45, 3,210.53 and 1,031.16 is: 1,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.45 : 3,210.53 = 1,031.16 : x
  2. Step 2: Convert to fraction form
    2,143.45/3,210.53 = 1,031.16/x
  3. Step 3: Cross multiply
    2,143.45x = 3,210.53 × 1,031.16
  4. Step 4: Simplify right side
    2,143.45x = 3,310,556.79
  5. Step 5: Solve for x
    x = 3,310,556.79/2,143.45
  6. Step 6: Final answer
    x = 1,544.50

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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.