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Finding the Fourth Proportional to 2,615.87, 3,609.95 and 1,437

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Solution

The fourth proportional to 2,615.87, 3,609.95 and 1,437 is: 1,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.87 : 3,609.95 = 1,437 : x
  2. Step 2: Convert to fraction form
    2,615.87/3,609.95 = 1,437/x
  3. Step 3: Cross multiply
    2,615.87x = 3,609.95 × 1,437
  4. Step 4: Simplify right side
    2,615.87x = 5,187,490.97
  5. Step 5: Solve for x
    x = 5,187,490.97/2,615.87
  6. Step 6: Final answer
    x = 1,983.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.