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Finding the Fourth Proportional to 2,196.88, 3,032.40 and 1,451.50

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Solution

The fourth proportional to 2,196.88, 3,032.40 and 1,451.50 is: 2,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.88 : 3,032.40 = 1,451.50 : x
  2. Step 2: Convert to fraction form
    2,196.88/3,032.40 = 1,451.50/x
  3. Step 3: Cross multiply
    2,196.88x = 3,032.40 × 1,451.50
  4. Step 4: Simplify right side
    2,196.88x = 4,401,528.60
  5. Step 5: Solve for x
    x = 4,401,528.60/2,196.88
  6. Step 6: Final answer
    x = 2,003.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.