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Finding the Fourth Proportional to 1,609.72, 2,204.72 and 1,515.13

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Solution

The fourth proportional to 1,609.72, 2,204.72 and 1,515.13 is: 2,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.72 : 2,204.72 = 1,515.13 : x
  2. Step 2: Convert to fraction form
    1,609.72/2,204.72 = 1,515.13/x
  3. Step 3: Cross multiply
    1,609.72x = 2,204.72 × 1,515.13
  4. Step 4: Simplify right side
    1,609.72x = 3,340,437.41
  5. Step 5: Solve for x
    x = 3,340,437.41/1,609.72
  6. Step 6: Final answer
    x = 2,075.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.