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Finding the Fourth Proportional to 1,454.90, 2,178.74 and 1,362.62

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Solution

The fourth proportional to 1,454.90, 2,178.74 and 1,362.62 is: 2,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.90 : 2,178.74 = 1,362.62 : x
  2. Step 2: Convert to fraction form
    1,454.90/2,178.74 = 1,362.62/x
  3. Step 3: Cross multiply
    1,454.90x = 2,178.74 × 1,362.62
  4. Step 4: Simplify right side
    1,454.90x = 2,968,803.55
  5. Step 5: Solve for x
    x = 2,968,803.55/1,454.90
  6. Step 6: Final answer
    x = 2,040.56

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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.