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Finding the Fourth Proportional to 4,031.01, 6,041.82 and 1,948.08

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Solution

The fourth proportional to 4,031.01, 6,041.82 and 1,948.08 is: 2,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.01 : 6,041.82 = 1,948.08 : x
  2. Step 2: Convert to fraction form
    4,031.01/6,041.82 = 1,948.08/x
  3. Step 3: Cross multiply
    4,031.01x = 6,041.82 × 1,948.08
  4. Step 4: Simplify right side
    4,031.01x = 11,769,948.71
  5. Step 5: Solve for x
    x = 11,769,948.71/4,031.01
  6. Step 6: Final answer
    x = 2,919.85

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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.