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Finding the Fourth Proportional to 2,605.25, 3,595.11 and 1,426.10

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Solution

The fourth proportional to 2,605.25, 3,595.11 and 1,426.10 is: 1,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.25 : 3,595.11 = 1,426.10 : x
  2. Step 2: Convert to fraction form
    2,605.25/3,595.11 = 1,426.10/x
  3. Step 3: Cross multiply
    2,605.25x = 3,595.11 × 1,426.10
  4. Step 4: Simplify right side
    2,605.25x = 5,126,968.40
  5. Step 5: Solve for x
    x = 5,126,968.40/2,605.25
  6. Step 6: Final answer
    x = 1,967.94

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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.