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Finding the Fourth Proportional to 1,656.24, 2,487.12 and 1,480.80

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Solution

The fourth proportional to 1,656.24, 2,487.12 and 1,480.80 is: 2,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.24 : 2,487.12 = 1,480.80 : x
  2. Step 2: Convert to fraction form
    1,656.24/2,487.12 = 1,480.80/x
  3. Step 3: Cross multiply
    1,656.24x = 2,487.12 × 1,480.80
  4. Step 4: Simplify right side
    1,656.24x = 3,682,927.30
  5. Step 5: Solve for x
    x = 3,682,927.30/1,656.24
  6. Step 6: Final answer
    x = 2,223.67

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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.