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Finding the Fourth Proportional to 2,689.36, 4,037 and 1,595.88

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Solution

The fourth proportional to 2,689.36, 4,037 and 1,595.88 is: 2,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.36 : 4,037 = 1,595.88 : x
  2. Step 2: Convert to fraction form
    2,689.36/4,037 = 1,595.88/x
  3. Step 3: Cross multiply
    2,689.36x = 4,037 × 1,595.88
  4. Step 4: Simplify right side
    2,689.36x = 6,442,567.56
  5. Step 5: Solve for x
    x = 6,442,567.56/2,689.36
  6. Step 6: Final answer
    x = 2,395.58

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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.