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Finding the Fourth Proportional to 2,383.63, 3,574.14 and 1,084.39

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Solution

The fourth proportional to 2,383.63, 3,574.14 and 1,084.39 is: 1,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.63 : 3,574.14 = 1,084.39 : x
  2. Step 2: Convert to fraction form
    2,383.63/3,574.14 = 1,084.39/x
  3. Step 3: Cross multiply
    2,383.63x = 3,574.14 × 1,084.39
  4. Step 4: Simplify right side
    2,383.63x = 3,875,761.67
  5. Step 5: Solve for x
    x = 3,875,761.67/2,383.63
  6. Step 6: Final answer
    x = 1,625.99

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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.