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Finding the Fourth Proportional to 1,709.67, 2,551.08 and 1,605.18

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Solution

The fourth proportional to 1,709.67, 2,551.08 and 1,605.18 is: 2,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.67 : 2,551.08 = 1,605.18 : x
  2. Step 2: Convert to fraction form
    1,709.67/2,551.08 = 1,605.18/x
  3. Step 3: Cross multiply
    1,709.67x = 2,551.08 × 1,605.18
  4. Step 4: Simplify right side
    1,709.67x = 4,094,936.22
  5. Step 5: Solve for x
    x = 4,094,936.22/1,709.67
  6. Step 6: Final answer
    x = 2,395.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.