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Finding the Fourth Proportional to 2,156.76, 3,233.55 and 1,461.70

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Solution

The fourth proportional to 2,156.76, 3,233.55 and 1,461.70 is: 2,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.76 : 3,233.55 = 1,461.70 : x
  2. Step 2: Convert to fraction form
    2,156.76/3,233.55 = 1,461.70/x
  3. Step 3: Cross multiply
    2,156.76x = 3,233.55 × 1,461.70
  4. Step 4: Simplify right side
    2,156.76x = 4,726,480.04
  5. Step 5: Solve for x
    x = 4,726,480.04/2,156.76
  6. Step 6: Final answer
    x = 2,191.47

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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.