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Finding the Fourth Proportional to 2,155.95, 2,975.00 and 1,211.90

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Solution

The fourth proportional to 2,155.95, 2,975.00 and 1,211.90 is: 1,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.95 : 2,975.00 = 1,211.90 : x
  2. Step 2: Convert to fraction form
    2,155.95/2,975.00 = 1,211.90/x
  3. Step 3: Cross multiply
    2,155.95x = 2,975.00 × 1,211.90
  4. Step 4: Simplify right side
    2,155.95x = 3,605,381.57
  5. Step 5: Solve for x
    x = 3,605,381.57/2,155.95
  6. Step 6: Final answer
    x = 1,672.29

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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.