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Finding the Fourth Proportional to 2,605.41, 3,907.85 and 1,435.03

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Solution

The fourth proportional to 2,605.41, 3,907.85 and 1,435.03 is: 2,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.41 : 3,907.85 = 1,435.03 : x
  2. Step 2: Convert to fraction form
    2,605.41/3,907.85 = 1,435.03/x
  3. Step 3: Cross multiply
    2,605.41x = 3,907.85 × 1,435.03
  4. Step 4: Simplify right side
    2,605.41x = 5,607,865.04
  5. Step 5: Solve for x
    x = 5,607,865.04/2,605.41
  6. Step 6: Final answer
    x = 2,152.39

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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.