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Finding the Fourth Proportional to 2,031.84, 3,051.90 and 1,339.50

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Solution

The fourth proportional to 2,031.84, 3,051.90 and 1,339.50 is: 2,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.84 : 3,051.90 = 1,339.50 : x
  2. Step 2: Convert to fraction form
    2,031.84/3,051.90 = 1,339.50/x
  3. Step 3: Cross multiply
    2,031.84x = 3,051.90 × 1,339.50
  4. Step 4: Simplify right side
    2,031.84x = 4,088,020.05
  5. Step 5: Solve for x
    x = 4,088,020.05/2,031.84
  6. Step 6: Final answer
    x = 2,011.98

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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.