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Finding the Fourth Proportional to 1,435.71, 2,149.51 and 914.42

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Solution

The fourth proportional to 1,435.71, 2,149.51 and 914.42 is: 1,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.71 : 2,149.51 = 914.42 : x
  2. Step 2: Convert to fraction form
    1,435.71/2,149.51 = 914.42/x
  3. Step 3: Cross multiply
    1,435.71x = 2,149.51 × 914.42
  4. Step 4: Simplify right side
    1,435.71x = 1,965,554.93
  5. Step 5: Solve for x
    x = 1,965,554.93/1,435.71
  6. Step 6: Final answer
    x = 1,369.05

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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.