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Finding the Fourth Proportional to 1,882.80, 2,823.32 and 1,005.06

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Solution

The fourth proportional to 1,882.80, 2,823.32 and 1,005.06 is: 1,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.80 : 2,823.32 = 1,005.06 : x
  2. Step 2: Convert to fraction form
    1,882.80/2,823.32 = 1,005.06/x
  3. Step 3: Cross multiply
    1,882.80x = 2,823.32 × 1,005.06
  4. Step 4: Simplify right side
    1,882.80x = 2,837,606.00
  5. Step 5: Solve for x
    x = 2,837,606.00/1,882.80
  6. Step 6: Final answer
    x = 1,507.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.