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Finding the Fourth Proportional to 2,689.42, 4,031.24 and 1,300.84

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Solution

The fourth proportional to 2,689.42, 4,031.24 and 1,300.84 is: 1,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.42 : 4,031.24 = 1,300.84 : x
  2. Step 2: Convert to fraction form
    2,689.42/4,031.24 = 1,300.84/x
  3. Step 3: Cross multiply
    2,689.42x = 4,031.24 × 1,300.84
  4. Step 4: Simplify right side
    2,689.42x = 5,244,004.76
  5. Step 5: Solve for x
    x = 5,244,004.76/2,689.42
  6. Step 6: Final answer
    x = 1,949.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.