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Finding the Fourth Proportional to 2,605.11, 3,595.02 and 1,426.17

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Solution

The fourth proportional to 2,605.11, 3,595.02 and 1,426.17 is: 1,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.11 : 3,595.02 = 1,426.17 : x
  2. Step 2: Convert to fraction form
    2,605.11/3,595.02 = 1,426.17/x
  3. Step 3: Cross multiply
    2,605.11x = 3,595.02 × 1,426.17
  4. Step 4: Simplify right side
    2,605.11x = 5,127,109.67
  5. Step 5: Solve for x
    x = 5,127,109.67/2,605.11
  6. Step 6: Final answer
    x = 1,968.10

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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.