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Finding the Fourth Proportional to 2,605.09, 3,595 and 1,426.15

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Solution

The fourth proportional to 2,605.09, 3,595 and 1,426.15 is: 1,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.09 : 3,595 = 1,426.15 : x
  2. Step 2: Convert to fraction form
    2,605.09/3,595 = 1,426.15/x
  3. Step 3: Cross multiply
    2,605.09x = 3,595 × 1,426.15
  4. Step 4: Simplify right side
    2,605.09x = 5,127,009.25
  5. Step 5: Solve for x
    x = 5,127,009.25/2,605.09
  6. Step 6: Final answer
    x = 1,968.07

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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.