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Finding the Fourth Proportional to 2,405.27, 3,607.09 and 924.14

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Solution

The fourth proportional to 2,405.27, 3,607.09 and 924.14 is: 1,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.27 : 3,607.09 = 924.14 : x
  2. Step 2: Convert to fraction form
    2,405.27/3,607.09 = 924.14/x
  3. Step 3: Cross multiply
    2,405.27x = 3,607.09 × 924.14
  4. Step 4: Simplify right side
    2,405.27x = 3,333,462.86
  5. Step 5: Solve for x
    x = 3,333,462.86/2,405.27
  6. Step 6: Final answer
    x = 1,385.90

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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.