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Finding the Fourth Proportional to 2,606.60, 3,597 and 1,427.65

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Solution

The fourth proportional to 2,606.60, 3,597 and 1,427.65 is: 1,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.60 : 3,597 = 1,427.65 : x
  2. Step 2: Convert to fraction form
    2,606.60/3,597 = 1,427.65/x
  3. Step 3: Cross multiply
    2,606.60x = 3,597 × 1,427.65
  4. Step 4: Simplify right side
    2,606.60x = 5,135,257.05
  5. Step 5: Solve for x
    x = 5,135,257.05/2,606.60
  6. Step 6: Final answer
    x = 1,970.10

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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.