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Finding the Fourth Proportional to 2,167.89, 2,989.84 and 1,411.86

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Solution

The fourth proportional to 2,167.89, 2,989.84 and 1,411.86 is: 1,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.89 : 2,989.84 = 1,411.86 : x
  2. Step 2: Convert to fraction form
    2,167.89/2,989.84 = 1,411.86/x
  3. Step 3: Cross multiply
    2,167.89x = 2,989.84 × 1,411.86
  4. Step 4: Simplify right side
    2,167.89x = 4,221,235.50
  5. Step 5: Solve for x
    x = 4,221,235.50/2,167.89
  6. Step 6: Final answer
    x = 1,947.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.