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Finding the Fourth Proportional to 2,031.99, 3,051.29 and 1,256.93

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Solution

The fourth proportional to 2,031.99, 3,051.29 and 1,256.93 is: 1,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.99 : 3,051.29 = 1,256.93 : x
  2. Step 2: Convert to fraction form
    2,031.99/3,051.29 = 1,256.93/x
  3. Step 3: Cross multiply
    2,031.99x = 3,051.29 × 1,256.93
  4. Step 4: Simplify right side
    2,031.99x = 3,835,251.46
  5. Step 5: Solve for x
    x = 3,835,251.46/2,031.99
  6. Step 6: Final answer
    x = 1,887.44

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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.