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Finding the Fourth Proportional to 2,405.31, 3,607.38 and 924.24

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Solution

The fourth proportional to 2,405.31, 3,607.38 and 924.24 is: 1,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.31 : 3,607.38 = 924.24 : x
  2. Step 2: Convert to fraction form
    2,405.31/3,607.38 = 924.24/x
  3. Step 3: Cross multiply
    2,405.31x = 3,607.38 × 924.24
  4. Step 4: Simplify right side
    2,405.31x = 3,334,084.89
  5. Step 5: Solve for x
    x = 3,334,084.89/2,405.31
  6. Step 6: Final answer
    x = 1,386.14

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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.