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Finding the Fourth Proportional to 2,109.31, 3,160.72 and 875.68

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Solution

The fourth proportional to 2,109.31, 3,160.72 and 875.68 is: 1,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.31 : 3,160.72 = 875.68 : x
  2. Step 2: Convert to fraction form
    2,109.31/3,160.72 = 875.68/x
  3. Step 3: Cross multiply
    2,109.31x = 3,160.72 × 875.68
  4. Step 4: Simplify right side
    2,109.31x = 2,767,779.29
  5. Step 5: Solve for x
    x = 2,767,779.29/2,109.31
  6. Step 6: Final answer
    x = 1,312.17

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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.