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Finding the Fourth Proportional to 2,155.11, 2,972.99 and 1,409.10

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Solution

The fourth proportional to 2,155.11, 2,972.99 and 1,409.10 is: 1,943.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.11 : 2,972.99 = 1,409.10 : x
  2. Step 2: Convert to fraction form
    2,155.11/2,972.99 = 1,409.10/x
  3. Step 3: Cross multiply
    2,155.11x = 2,972.99 × 1,409.10
  4. Step 4: Simplify right side
    2,155.11x = 4,189,233.16
  5. Step 5: Solve for x
    x = 4,189,233.16/2,155.11
  6. Step 6: Final answer
    x = 1,943.86

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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.