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Finding the Fourth Proportional to 1,918.17, 2,875.16 and 823.19

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Solution

The fourth proportional to 1,918.17, 2,875.16 and 823.19 is: 1,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.17 : 2,875.16 = 823.19 : x
  2. Step 2: Convert to fraction form
    1,918.17/2,875.16 = 823.19/x
  3. Step 3: Cross multiply
    1,918.17x = 2,875.16 × 823.19
  4. Step 4: Simplify right side
    1,918.17x = 2,366,790.64
  5. Step 5: Solve for x
    x = 2,366,790.64/1,918.17
  6. Step 6: Final answer
    x = 1,233.88

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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.