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Finding the Fourth Proportional to 2,191.14, 3,285.17 and 875.18

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Solution

The fourth proportional to 2,191.14, 3,285.17 and 875.18 is: 1,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.14 : 3,285.17 = 875.18 : x
  2. Step 2: Convert to fraction form
    2,191.14/3,285.17 = 875.18/x
  3. Step 3: Cross multiply
    2,191.14x = 3,285.17 × 875.18
  4. Step 4: Simplify right side
    2,191.14x = 2,875,114.19
  5. Step 5: Solve for x
    x = 2,875,114.19/2,191.14
  6. Step 6: Final answer
    x = 1,312.16

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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.