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Finding the Fourth Proportional to 2,405.08, 3,609.28 and 924.12

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Solution

The fourth proportional to 2,405.08, 3,609.28 and 924.12 is: 1,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.08 : 3,609.28 = 924.12 : x
  2. Step 2: Convert to fraction form
    2,405.08/3,609.28 = 924.12/x
  3. Step 3: Cross multiply
    2,405.08x = 3,609.28 × 924.12
  4. Step 4: Simplify right side
    2,405.08x = 3,335,407.83
  5. Step 5: Solve for x
    x = 3,335,407.83/2,405.08
  6. Step 6: Final answer
    x = 1,386.82

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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.