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Finding the Fourth Proportional to 1,882.72, 2,810.59 and 1,636.75

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Solution

The fourth proportional to 1,882.72, 2,810.59 and 1,636.75 is: 2,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.72 : 2,810.59 = 1,636.75 : x
  2. Step 2: Convert to fraction form
    1,882.72/2,810.59 = 1,636.75/x
  3. Step 3: Cross multiply
    1,882.72x = 2,810.59 × 1,636.75
  4. Step 4: Simplify right side
    1,882.72x = 4,600,233.18
  5. Step 5: Solve for x
    x = 4,600,233.18/1,882.72
  6. Step 6: Final answer
    x = 2,443.40

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