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Finding the Fourth Proportional to 2,405.76, 3,607.36 and 1,418.92

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Solution

The fourth proportional to 2,405.76, 3,607.36 and 1,418.92 is: 2,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.76 : 3,607.36 = 1,418.92 : x
  2. Step 2: Convert to fraction form
    2,405.76/3,607.36 = 1,418.92/x
  3. Step 3: Cross multiply
    2,405.76x = 3,607.36 × 1,418.92
  4. Step 4: Simplify right side
    2,405.76x = 5,118,555.25
  5. Step 5: Solve for x
    x = 5,118,555.25/2,405.76
  6. Step 6: Final answer
    x = 2,127.63

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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.