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Finding the Fourth Proportional to 2,411.74, 3,618.42 and 950.10

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Solution

The fourth proportional to 2,411.74, 3,618.42 and 950.10 is: 1,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.74 : 3,618.42 = 950.10 : x
  2. Step 2: Convert to fraction form
    2,411.74/3,618.42 = 950.10/x
  3. Step 3: Cross multiply
    2,411.74x = 3,618.42 × 950.10
  4. Step 4: Simplify right side
    2,411.74x = 3,437,860.84
  5. Step 5: Solve for x
    x = 3,437,860.84/2,411.74
  6. Step 6: Final answer
    x = 1,425.47

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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.