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Finding the Fourth Proportional to 2,216.60, 3,307.73 and 1,971.20

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Solution

The fourth proportional to 2,216.60, 3,307.73 and 1,971.20 is: 2,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.60 : 3,307.73 = 1,971.20 : x
  2. Step 2: Convert to fraction form
    2,216.60/3,307.73 = 1,971.20/x
  3. Step 3: Cross multiply
    2,216.60x = 3,307.73 × 1,971.20
  4. Step 4: Simplify right side
    2,216.60x = 6,520,197.38
  5. Step 5: Solve for x
    x = 6,520,197.38/2,216.60
  6. Step 6: Final answer
    x = 2,941.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.