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Finding the Fourth Proportional to 2,160.67, 3,232.95 and 1,810.30

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Solution

The fourth proportional to 2,160.67, 3,232.95 and 1,810.30 is: 2,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.67 : 3,232.95 = 1,810.30 : x
  2. Step 2: Convert to fraction form
    2,160.67/3,232.95 = 1,810.30/x
  3. Step 3: Cross multiply
    2,160.67x = 3,232.95 × 1,810.30
  4. Step 4: Simplify right side
    2,160.67x = 5,852,609.39
  5. Step 5: Solve for x
    x = 5,852,609.39/2,160.67
  6. Step 6: Final answer
    x = 2,708.70

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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.