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Finding the Fourth Proportional to 2,435.53, 3,654.71 and 1,029.85

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Solution

The fourth proportional to 2,435.53, 3,654.71 and 1,029.85 is: 1,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.53 : 3,654.71 = 1,029.85 : x
  2. Step 2: Convert to fraction form
    2,435.53/3,654.71 = 1,029.85/x
  3. Step 3: Cross multiply
    2,435.53x = 3,654.71 × 1,029.85
  4. Step 4: Simplify right side
    2,435.53x = 3,763,803.09
  5. Step 5: Solve for x
    x = 3,763,803.09/2,435.53
  6. Step 6: Final answer
    x = 1,545.37

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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.