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Finding the Fourth Proportional to 2,405.02, 3,607.94 and 924.14

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Solution

The fourth proportional to 2,405.02, 3,607.94 and 924.14 is: 1,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.02 : 3,607.94 = 924.14 : x
  2. Step 2: Convert to fraction form
    2,405.02/3,607.94 = 924.14/x
  3. Step 3: Cross multiply
    2,405.02x = 3,607.94 × 924.14
  4. Step 4: Simplify right side
    2,405.02x = 3,334,241.67
  5. Step 5: Solve for x
    x = 3,334,241.67/2,405.02
  6. Step 6: Final answer
    x = 1,386.37

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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.