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Finding the Fourth Proportional to 2,385.71, 3,558.72 and 1,998.21

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Solution

The fourth proportional to 2,385.71, 3,558.72 and 1,998.21 is: 2,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.71 : 3,558.72 = 1,998.21 : x
  2. Step 2: Convert to fraction form
    2,385.71/3,558.72 = 1,998.21/x
  3. Step 3: Cross multiply
    2,385.71x = 3,558.72 × 1,998.21
  4. Step 4: Simplify right side
    2,385.71x = 7,111,069.89
  5. Step 5: Solve for x
    x = 7,111,069.89/2,385.71
  6. Step 6: Final answer
    x = 2,980.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.