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Finding the Fourth Proportional to 2,177.65, 3,268.14 and 1,482.67

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Solution

The fourth proportional to 2,177.65, 3,268.14 and 1,482.67 is: 2,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.65 : 3,268.14 = 1,482.67 : x
  2. Step 2: Convert to fraction form
    2,177.65/3,268.14 = 1,482.67/x
  3. Step 3: Cross multiply
    2,177.65x = 3,268.14 × 1,482.67
  4. Step 4: Simplify right side
    2,177.65x = 4,845,573.13
  5. Step 5: Solve for x
    x = 4,845,573.13/2,177.65
  6. Step 6: Final answer
    x = 2,225.14

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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.