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Finding the Fourth Proportional to 2,154.17, 3,231.75 and 615.17

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Solution

The fourth proportional to 2,154.17, 3,231.75 and 615.17 is: 922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.17 : 3,231.75 = 615.17 : x
  2. Step 2: Convert to fraction form
    2,154.17/3,231.75 = 615.17/x
  3. Step 3: Cross multiply
    2,154.17x = 3,231.75 × 615.17
  4. Step 4: Simplify right side
    2,154.17x = 1,988,075.65
  5. Step 5: Solve for x
    x = 1,988,075.65/2,154.17
  6. Step 6: Final answer
    x = 922.90

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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.