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Finding the Fourth Proportional to 2,109.12, 3,165.09 and 876.51

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Solution

The fourth proportional to 2,109.12, 3,165.09 and 876.51 is: 1,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.12 : 3,165.09 = 876.51 : x
  2. Step 2: Convert to fraction form
    2,109.12/3,165.09 = 876.51/x
  3. Step 3: Cross multiply
    2,109.12x = 3,165.09 × 876.51
  4. Step 4: Simplify right side
    2,109.12x = 2,774,233.04
  5. Step 5: Solve for x
    x = 2,774,233.04/2,109.12
  6. Step 6: Final answer
    x = 1,315.35

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