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Finding the Fourth Proportional to 1,612.65, 2,419.56 and 639.42

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Solution

The fourth proportional to 1,612.65, 2,419.56 and 639.42 is: 959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.65 : 2,419.56 = 639.42 : x
  2. Step 2: Convert to fraction form
    1,612.65/2,419.56 = 639.42/x
  3. Step 3: Cross multiply
    1,612.65x = 2,419.56 × 639.42
  4. Step 4: Simplify right side
    1,612.65x = 1,547,115.06
  5. Step 5: Solve for x
    x = 1,547,115.06/1,612.65
  6. Step 6: Final answer
    x = 959.36

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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.