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Finding the Fourth Proportional to 2,606.42, 3,907.90 and 1,436.99

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Solution

The fourth proportional to 2,606.42, 3,907.90 and 1,436.99 is: 2,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.42 : 3,907.90 = 1,436.99 : x
  2. Step 2: Convert to fraction form
    2,606.42/3,907.90 = 1,436.99/x
  3. Step 3: Cross multiply
    2,606.42x = 3,907.90 × 1,436.99
  4. Step 4: Simplify right side
    2,606.42x = 5,615,590.09
  5. Step 5: Solve for x
    x = 5,615,590.09/2,606.42
  6. Step 6: Final answer
    x = 2,154.53

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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.