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Finding the Fourth Proportional to 1,619.36, 2,425.05 and 924.31

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Solution

The fourth proportional to 1,619.36, 2,425.05 and 924.31 is: 1,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.36 : 2,425.05 = 924.31 : x
  2. Step 2: Convert to fraction form
    1,619.36/2,425.05 = 924.31/x
  3. Step 3: Cross multiply
    1,619.36x = 2,425.05 × 924.31
  4. Step 4: Simplify right side
    1,619.36x = 2,241,497.97
  5. Step 5: Solve for x
    x = 2,241,497.97/1,619.36
  6. Step 6: Final answer
    x = 1,384.19

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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.