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Finding the Fourth Proportional to 2,031.77, 3,047.73 and 645.13

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Solution

The fourth proportional to 2,031.77, 3,047.73 and 645.13 is: 967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.77 : 3,047.73 = 645.13 : x
  2. Step 2: Convert to fraction form
    2,031.77/3,047.73 = 645.13/x
  3. Step 3: Cross multiply
    2,031.77x = 3,047.73 × 645.13
  4. Step 4: Simplify right side
    2,031.77x = 1,966,182.05
  5. Step 5: Solve for x
    x = 1,966,182.05/2,031.77
  6. Step 6: Final answer
    x = 967.72

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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.