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Finding the Fourth Proportional to 2,810.08, 4,218 and 1,989.28

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Solution

The fourth proportional to 2,810.08, 4,218 and 1,989.28 is: 2,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.08 : 4,218 = 1,989.28 : x
  2. Step 2: Convert to fraction form
    2,810.08/4,218 = 1,989.28/x
  3. Step 3: Cross multiply
    2,810.08x = 4,218 × 1,989.28
  4. Step 4: Simplify right side
    2,810.08x = 8,390,783.04
  5. Step 5: Solve for x
    x = 8,390,783.04/2,810.08
  6. Step 6: Final answer
    x = 2,985.96

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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.